PATENTS:

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  • Spanish patent ES2392619 - "Procedimiento de reconstrucción de la topografía corneal a partir de datos altímetros o de curvatura", developed by A. Martínez-Finkelshtein, D. Ramos-López, G. Castro de Luna and J. Alió. (granted on 10/22/2013).

 

PUBLISHED PAPERS:

2013


  • Bracciali, Cleonice F.; Pérez, Teresa E.; Piñar, Miguel A. Stieltjes functions and discrete classical orthogonal polynomials. Comput. Appl. Math. 32 (2013), 537-547. MR3120139
  • Castaño--García, Laura; Moreno--Balcázar, Juan J. Zeros of varying Laguerre--Krall orthogonal polynomials. Proc. Amer. Math. Soc. 141 (2013), no. 6, 2051--2060. MR3034430
  • Delgado, Antonia M.; Pérez, Teresa E.; Piñar, Miguel A.; Sobolev-type orthogonal polynomials on the unit ball. J. Approx. Theory 170 (2013), 94-106. MR3044047
  • B. Xh. Fejzullahu, F. Marcellán, J.J. Moreno-Balcázar; Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality; Journal of Approximation Theory, 170, 78-93, 2013. MR3044046
  • J.F. Mañas-Mañas, F. Marcellán, J.J. Moreno-Balcázar; Varying discrete Laguerre-Sobolev orthogonal polynomials: asymptotic behavior and zeros; Applied Mathematics and Computation, 222, 612-618, 2013. MR3115898
  • A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, Differential equation for Hermite-Padé polynomials, Uspekhi Mat. Nauk, 68:1(409) (2013), 197-198 (en ruso). Traducción al inglés en Russian Math. Surveys 68:1, (2013), 183-185. MR3088082
  • Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan; Weighted Sobolev orthogonal polynomials on the unit ball. J. Approx. Theory 171 (2013), 84-104. MR3053718
  • D. Ramos-López, A. Martínez-Finkelshtein, G. M. Castro-Luna, N. Burguera-Gimenez, A. Vega-Estrada, D. Piñero, J. L. Alió, Screening subclinical keratoconus with Placido-based corneal indices. Optometry and Vision Science 90, No. 4, 2013, pp. 335-343.

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2012


  • V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, The method of interior variations and existence of S-compacts, Trudy MIAN 279 (2012), 31-58 (en ruso). Traducción al inglés en: Proc. Steklov Inst. Math. 279 (2012), 25-51. MR3086756
  • L. Castaño-García, J.J. Moreno-Balcázar, Varying Sobolev type orthogonal polynomials: the Laguerre case. Jaen Journal of Approximation, 4(2), 85-99, 2012.
  • A. M. Delgado, L. Fernández, T. E. Pérez, M. A. Piñar, On the Uvarov modification of two variable orthogonal polynomials on the disk. Complex Anal. Oper. Theory 6 (3) (2012), 665-676. MR2944078
  • L. Fernández, T. E. Pérez, M. A. Piñar, On Koornwinder classical orthogonal polynomials in two variables. J. Comput. Appl. Math. 236 (2012), 3817-3826. MR2923514
  • A. Martínez-Finkelshtein (ed.), Book reviews. Journal of Approximation Theory 164 (2012), 1313--1329, DOI:10.1016/j.jat.2012.06.004.
  • A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, Heine, Hilbert, Pade, Riemann, and Stieltjes: a John Nuttall's work 25 years later, Contemporary Mathematics 578 (2012), 165-193, DOI http://dx.doi.org/10.1090/conm/578/11474. También preprint arXiv:1111.6139.
  • J.J. Moreno-Balcázar, Contributions to the theory of Sobolev orthogonal polynomials. Book "Select works of Francisco J. Marcellán Español", p. 55-70, Universidad Carlos III de Madrid, 2012.
  • J.J. Moreno-Balcázar, Varying Jacobi-Krall orthogonal polynomials: local asymptotic behaviour and zeros. The Ramanujan Journal, 28, 79-88, 2012. MR2914454

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2011

  • M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, A new approach to the asymptotics for Sobolev orthogonal polynomials. Journal of Approximation Theory, 163, 460-480, 2011. MR2775140.

  • A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, Padé approximants, continued fractions, and orthogonal polynomials (in Russian). Uspehi Mat. Nauk 66 (6), (2011), 37-122. English translation in Russian Math. Surveys 66:6 1049-1131 (2011). MR2963451.

  • R.S. Costas-Santos, J.J. Moreno-Balcázar, The semiclassical-Sobolev orthogonal polynomials: a general approach. Journal of Approximation Theory, 163(1), 65-83, 2011. MR2741220.

  • R.S. Costas-Santos, J.F. Sánchez-Lara, Orthogonality of q-polynomials for non-standard parameters. J. Approx. Theory 163(9), 1246-1268, 2011. MR2832754.

  • L. Fernández, T. E. Pérez, M. A. Piñar, Orthogonal polynomials in two variables as solutions of higher order partial differential equations. J. Approx. Theory 163 (2011), 84-97.
    MR2741221 (2012c:42059)

  • A. Foulquie Moreno, A. Martínez-Finkelshtein, V.L. Sousa, Asymptotics of orthogonal polynomials for a weight with a jump on [-1,1]. Constructive Approximation 33, 219-263 (2011). Also  preprint arXiv:0904.2514 [math.CA]. MR2770532.

  • F. Alberto Grünbaum, Manuel D. de la Iglesia, Andrei Martinez-Finkelshtein, Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization, SIGMA 7 (2011), 098, 31 pages. Also preprint arXiv:1106.1307 [math.CA]. MR2861178.

  • A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky, Non-intersecting squared Bessel paths: critical time and double scaling limit. Comm. Math. Physics. 308 (2011), 227-279. Also  preprint arXiv:1011.1278 [math.CA]. MR2842976.

  • A. Martinez-Finkelshtein (ed.), Book reviews. Journal of Approximation Theory 163 (2011), 1029-1047.

  • A. Martinez-Finkelshtein, E. A. Rakhmanov, Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials, Comm. Math. Physics 302, 53-111 (2011).  Also  preprint arXiv:0902.0193 [math.CA]. MR2770010.

  • A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, A Variation of the equilibrium measure and the S-property of stationary compact sets, Uspekhi Mat. Nauk, 66:1(397) (2011), 183-184 (en ruso). Traducción al inglés en: Russian Mathematical Surveys, 2011, 66:1, 176-178. MR2841691.

  • A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, Variation of the equilibrium measure and the S-property of stationary compact sets, Mat. Sbornik, 202:12 (2011), 113-136 (en ruso). English trans. in Sbornik: Mathematics 202:12 1831-1852 (2011). MR2919251.

  • A. Martínez-Finkelshtein, D. Ramos-López, G. M. Castro-Luna, J. L. Alió, Adaptive cornea modeling from keratometric data. Investigative Ophthalmology and Visual Science 52 (8) (2011), 4963-4970. Also preprint arXiv:1009.1244 [math.CA].

  • A. Martínez-Finkelshtein, B. Simon, Asymptotics of the L^2 Norm of Derivatives of OPUC, J. Approx. Theory 163, 747-778 (2011). Also preprint arXiv:1006.0900 [math.CA]. MR2832122.

  • M. V. Mello, V. G. Paschoa, T. E. Pérez, M. A. Piñar, Multivariate Sobolev-type orthogonal polynomials. Jaen J. Approx. 3 (2011), 241-259. MR2954375

  • J.J. Moreno-Balcázar, T.E. Pérez, M.A. Piñar, A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case. The Ramanujan Journal, 25, 21-35, 2011. MR2787289.

  • D. Ramos-López, A. Martínez-Finkelshtein. Multiscale modeling by anisotropic gaussian functions with applications to the corneal topography. Proceedings of the 11th CMMSE. (2011).

  • D. Ramos-López, A. Martínez-Finkelshtein, G. M. Castro-Luna, D. Piñero, J. L. Alió, Placido-based indices of corneal irregularity, Optometry and Vision Science 88 (10) (2011), 1220-1231.

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2010

  • M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Asymptotics for a generalization of Hermite polynomials. Asymptotic Analysis, 66, 103-117, 2010. MR2603713.

  • M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, On Sobolev type orthogonal polynomial with unbounded support: asymptotic properties. Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 33, 209-223, 2010.

  • A.I. Aptekarev, J.S. Dehesa, A. Martinez-Finkelshtein, Asymptotics of orthogonal polynomial's entropy.  Journal of Comput. Applied Math.  233, 1355-1365 (2010). MR2559324.

  • A.I. Aptekarev, J S Dehesa, A Martínez-Finkelshtein, R.J. Yáñez, Quantum expectation values of D-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics, J. Phys. A: Math. Theor. 43 (2010) 145204 (10pp). MR2606435.

  • C. F. Bracciali, L. Castaño-García, J.J. Moreno-Balcázar, Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights. Journal of Computational and Applied Mathematics, 235(4), 904-915, 2010. MR2727628.

  • C. F. Bracciali, A. M. Delgado, L. Fernández, T. E. Pérez, M. A. Piñar, New steps on Sobolev orthogonality in two variables. J. Comput. Appl. Math. 235 (2010), 916-926.
    MR2727629 (2011g:42063)

  • E.X.L. de Andrade, C.F. Bracciali, L. Castaño-García, J.J. Moreno-Balcázar, Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures. Journal of Approximation Theory, 162(11), 1945-1963, 2010. MR2732916.

  • E. X. L. de Andrade, C. F. Bracciali, M. V. de Mello, T. E. Pérez, Zeros for Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures. Comput. Appl. Math. 29 (2010), 423-445. MR2740662 (2011m:33016)

  • J. S. Dehesa, S. López-Rosa, A. Martínez-Finkelshtein, R. J. Yáñez. Information theory of D-dimensional hydrogenic systems. Application to circular and Rydberg states. International Journal of Quantum Chemistry 110 (8), 1529-1548 (July 2010).

  • A. M. Delgado, L. Fernández, T. E. Pérez, M. A. Piñar, Y. Xu, Orthogonal polynomials in several variables for measures with mass points. Numer. Algorithms 55 (2010), 245-264.
    MR2720631 (2011i:42048)

  • L. Fernández, F. Marcellán, T. E. Pérez, M. A. Piñar, Recent Trends on Two Variable Orthogonal Polynomials. Differential Algebra, Complex Analysis and Orthogonal Polynomials, P. Acosta-Humánez and F. Marcellán, eds. Contemporary Mathematics, 509, 59-86, American Mathematical Society, Providence, RI, 2010. MR2647637 (2011f:42030)

  • L. Fernández, T. E. Pérez, M. A. Piñar, Y. Xu, Krall-type ortogonal polynomials in several variables. J. Comput. Appl. Math. 233 (2010), 1519-1524. MR2559340 (2010j:42049)

  • A. Foulquie Moreno, A. Martínez-Finkelshtein, V.L. Sousa, On a conjecture of A. Magnus concerning the asymptotic behavior of  the recurrence coefficients of the generalized Jacobi polynomials. Journal of Approximation Theory 162 (2010) 807-831. Also  preprint arXiv:0905.2753 [math.CA]. MR2606647.

  • Lamblém, R. L.; McCabe, J. H.; Piñar, M. A.; Sri Ranga, A. Szegő type polynomials and para-orthogonal polynomials. J. Math. Anal. Appl. 370 (2010), 30-41. MR2651127

  • F. Marcellán and A. Martínez-Finkelshtein, Guillermo López Lagomasino: mathematical life. Contemporary Mathematics 507, 1-24, 2010. MR2647563.

  • A. Martinez-Finkelshtein (ed.), Book reviews. Journal of Approximation Theory 162 (2010), 221-238, DOI 10.1016/j.jat.2008.11.004.

  • A. Martinez-Finkelshtein (ed.), Book reviews. Journal of Approximation Theory 162 (2010), 869-889, DOI:10.1016/j.jat.2010.02.001.

  • A. Martinez-Finkelshtein, E. A. Rakhmanov, On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials. Contemporary Mathematics 507, 209-232 (2010). Also  preprint arXiv:0903.2614 [math.CA]. MR2647571.

  • P. Martínez-González, A. Zarzo, Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials. Journal of Computational and Applied Mathematics, 233(6), 1577-1583, 2010. MR2559348.

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  2009

  • M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Sobolev orthogonal polynomials: balance and asymptotics. Transactions of the American Mathematical Society, 361, 547-560, 2009. MR2439416.

  • M. Álvarez de Morales, L. Fernández, T. E. Pérez, M. A. Piñar, A matrix Rodrigues formula for classical orthogonal polynomials in two variables. J. Approx. Theory 157 (2009), 32-52.
    MR2500152 (2010d:33012)

  • M. Álvarez de Morales, L. Fernández, T. E. Pérez, M. A. Piñar, Bivariate ortogonal polynomials in the Lyskova class. J. Comput. Appl. Math. 233 (2009), 597-601. MR2582991 (2010m:42051)

  • A.I. Aptekarev, J.S. Dehesa, A. Martinez-Finkelshtein, R. Yañez, Discrete entropies of orthogonal polynomials. Constructive Approximation 30 (2009): 93-119, DOI 10.1007/s00365-008-9028-9. Also preprint arXiv:0710.2134 [math.CA]. MR2519656.

  • R.S. Costas-Santos, J.F. Sánchez-Lara, Extensions of discrete classical orthogonal polynomials beyond the orthogonality. J. Comput. Appl. Math. 225 (2), 440-451, 2009. MR2494714.

  • V. P. Kostov, A. Martínez-Finkelshtein, B. Z. Shapiro, Narayana numbers and Schur-Szegö composition. Journal of Approximation Theory 161, 464-476 (2009). MR2563064.

  • A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky, Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. Communications in Mathematical Physics 286, 217-275 (2009), doi 10.1007/s00220-008-0652-9. Also preprint arXiv:0712.1333 [math.CA]. MR2470930.

  • A. Martinez-Finkelshtein (ed.), Book reviews. Journal of Approximation Theory 156 (2009), 95-115, DOI 10.1016/j.jat.2008.11.012.

  • A. Martínez-Finkelshtein, A. M. Delgado, G. M. Castro, A. Zarzo, J. L. Alió, Comparative analysis of some modal reconstruction methods of the shape of the cornea from the corneal elevation data, Investigative Ophthalmology and Visual Science 50 (12), 5639-5645 (2009).

  • Piñar, Miguel A.; Xu, Yuan; Orthogonal Polynomials and Partial Differential Equations on the Unit Ball. Proc. Amer. Math. Soc. 137 (2009), 2979-2987. MR2506456

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  2008

  • M. Álvarez de Morales, L. Fernández, T. E. Pérez, M. A. Piñar, A semiclassical perspective on multivariate orthogonal polynomials. J. Comput. Appl. Math. 214 (2008), 447-456.
    MR2398345 (2009d:42064)

  • M. Álvarez de Morales, L. Fernández, T. E. Pérez, M. A. Piñar, A Stieltjes function in two variables. Approximation Theory XII: San Antonio 2007, 1-13, Nashboro Press, Brentwood, TN, 2008.
    MR2537115 (2010g:42055)

  • A.I. Aptekarev, J.S. Dehesa, A. Martinez-Finkelshtein, R. Yañez, Discrete entropies of orthogonal polynomials. Constructive Approximation, DOI 10.1007/s00365-008-9028-9. Also preprint arXiv:0710.2134 [math.CA].

  • G. Lopez Lagomasino, A. Martinez-Finkelshtein, I. Perez-Izquierdo, and H. Pijeira-Cabrera, Strong Asymptotics for Sobolev orthogonal polynomials in the complex plane. Journal of Mathematical Analysis and Applications 340, 521-535 (2008). MR2376173.

  • A. Martinez-Finkelshtein (ed.), Book reviews. Journal of Approximation Theory 154 (2008), pp. 59-75.

  • J.J. Moreno-Balcázar, Mujeres matemáticas en las universidades andaluzas: 2001-2003, I. Matematicalia 4(3), 2008. See Matematicalia.

  • J.J. Moreno-Balcázar, Mujeres matemáticas en las universidades andaluzas: 2001-2003, II. Matematicalia 4(4), 2008. See Matematicalia.

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  2007

  • K. Driver, K. Jordaan, and A. Martínez-Finkelshtein, Pólya frequency sequences and real zeros of some 3F2 polynomials. Journal of Mathematical Analysis and Applications 332, 1045-1055 (2007).

  • A. Martinez-Finkelshtein, J. F. Sanchez-Lara, Shannon entropy of symmetric Pollaczek polynomials. Journal of Approximation Theory 145, 55-80 (2007). También preprint math.CA/0504250.

  • F. Marcellán, A. Martínez-Finkelshtein, P. Martínez-González, Electrostatic models for zeros of polynomials: old, new, and some open problems. J. Comput. Appl. Math. 207 (2), 258-272 (2007). También preprint math.CA/0512293.

  • J.J. Moreno-Balcázar. A note on the zeros of Freud-Sobolev orthogonal polynomials. Journal of Computational and Applied Mathematics, 207(2), 338-344, 2007.

  • M.G. de Bruin, W.G.M. Groenevelt,  F. Marcellán, H.G. Meijer, J.J. Moreno-Balcázar, Asymptotics and zeros of symmetrically coherent pairs of Hermite type, Difference Equations, Special Functions and Orthogonal Polynomials (Proceedings of the International Conference Munich), 378-393, 2007.

  • L. Fernández, T. E. Pérez, and M. A. Piñar. Second order partial differential equations for gradients of orthogonal polynomials in two variables, J. Comput. Appl. Math., 199 (2007), p. 113-121.

  • María Álvarez de Morales, Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar, Semiclassical orthogonal polynomials in two variables, J. Comp. Appl. Math. 207 (2007) 323-330.

  • María Álvarez de Morales, Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar,  On differential properties for multivariate orthogonal polynomials, Numerical Algorithms 45 (2007) 153-166.

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 2006

  • J. S. Dehesa, A. Martínez-Finkelshtein, V. N. Sorokin, Information-theoretic measures for Morse and Pöschl-Teller potentials, Molecular Physics 104 (4), 613-622, 2006.

  • A. Martinez-Finkelshtein, K. T.-R. McLaughlin, and E. B. Saff, Szegö orthogonal polynomials with respect to an analytic weight: canonical representation and strong asymptotics. Constructive Approximation, DOI: 10.1007/s00365-005-0617-6, 2006. También preprint math.CA/0502300.

  • A. Martinez-Finkelshtein, Equilibrium Problems Potential Theory in the Complex Plane. Por aparecer en "Orthogonal Polynomials and Special Functions", Lecture Notes Math. 1883, Van Assche, Walter; MarcellÁ n, Francisco (Eds.), 2006.

  • J. S. Geronimo, A. Martinez-Finkelshtein, On extensions of a theorem of Baxter. J. Approx. Theory 139 (1-2), 214-222 (2006). También preprint math.CA/0508224.

  • F. Marcellán, J.J. Moreno-Balcázar, Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports. Acta Applicandae Mathematicae 94(2), 163-192, 2006.

  • A. Martinez-Finkelshtein, K. T.-R. McLaughlin, and E. B. Saff. Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Internat. Math. Research Notices (2006), doi:10.1155/IMRN/2006/91426. También preprint math.CA/0605715.

  • L. Baratchart, A. Martinez-Finkelshtein, D. Jimenez, D. S. Lubinsky, H. N. Mhaskar, I. Pritsker, M. Putinar, N. Stylianopoulos, V. Totik, P. Varju, and Y. Xu, Open problems in constructive function theory. Electronic Trans. Numer. Anal. 25, 511-525 (2006).

 

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2005

  • Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar. Classical orthogonal polynomials in two variables: a matrix approach; Numerical Algorithms, 39 (2005) 131 - 142.

  • Lidia Fernández, Teresa E. Pérez y Miguel A. Piñar. Weak classical orthogonal polynomials in two variables; Journal of Computational and Applied Mathematics 178 (2005) 191 - 203.

  • Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar. On multivariate classical orthogonal polynomials. Rend. Circ. Mat. Palermo, Serie II, Suppl. No. 76 (2005), 315 - 329.

  • I. Area, E. Godoy, F. Marcellán, J.J. Moreno Balcázar. $Delta$-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation, J. Computational and Applied Math.,178, 21-36, 2005.

  • A. Martinez-Finkelshtein, P. Martínez-González, R. Orive. Asymptotics of polynomial solutions of a class of generalized Lamé differential equations, Electronic Trans. Numer. Anal., Vol. 19, 18-28 (2005) [.pdf] .

  • A.B.J. Kuijlaars, A. Martinez-Finkelshtein, R. Orive, Orthogonality of Jacobi polynomials with general parameters, Electronic Trans. Numer. Anal. Vol. 19, 1-17 (2005), [.pdf]. Also preprint math.CA/0301037.

  • A. Martinez-Finkelshtein, R. Orive, Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour, J. Approx. Theory Vol. 134, 137-17 (2005). Also preprint math.CA/04103205.

  • F. Martínez Soler, A. Martinez-Finkelshtein, Las ganancias del comercio y el intercambio desigual en los modelos del comercio internacional, Revista de Economía Crítica, Vol. 4, 115-140 (2005).

  • J.J. Moreno-Balcázar. Smallest zeros of some types of orthogonal polynomials: asymptotics, Journal of Computational and Applied Mathematics, 179, 289-301, 2005.

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2004

  • R. Álvarez-Nodarse, J.J. Moreno-Balcázar. Asymptotic properties of generalized Laguerre orthogonal polynomials, Indagationes Mathematicae, N.S.,15 (2), 151-165, (2004).

  • María del Mar Campos Pérez, Juan J. Moreno Balcázar , Ana Belén Rubio García. La investigación de las mujeres matemáticas en Andalucía en los albores del siglo XXI: 2001-2003, La Gaceta de la Real Sociedad Matemática Española, 7(3), 679-690, (2004).

  • A. Martínez-Finkelshtein, V. Maymeskul, E. A. Rakhmanov, E. B. Saff, Asymptotics for minimal discrete Riesz energy on curves in R^d, Canadian Journal of Mathematics Vol. 56, No. 3, 529-552 (2004), MR number 2057285 (2005a:31010). [.pdf]

  • B. Beckermann, A. Martinez-Finkelshtein, E.A. Rakhmanov, and F. Wielonsky, Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegö class, J. Math. Physics 45 (11), 4239-4254 (2004), MR number 2098132 (2005f:42052). Also preprint math.CA/0311055.

  • V. Buyarov, J. S. Dehesa, A. Martinez-Finkelshtein, J. Sanchez-Lara, Computation of the entropy of polynomials orthogonal on an interval, SIAM J. Scientific Computing 26 (2), 488-509 (2004). Also preprint math.NA/0310238.

  • A.B.J. Kuijlaars, A. Martinez-Finkelshtein, Strong asymptotics for Jacobi polynomials with varying nonstandard parameters,  J. d'Analyse Mathematique 94, 195-234 (2004). Also preprint math.CA/0309443.

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2003

  • L. Castaño-García, J.J. Moreno Balcázar. A Mehler-Heine type formula for Hermite-Sobolev orthogonal polynomials , J. Comput. and Appl. Math. 150(1),  25-35, (2003) [.pdf]. 

  • M. Alfaro, J.J. Moreno-Balcázar, M.L. Rezola. Laguerre-Sobolev orthogonal polynomials: asymptotics for coherent pairs of type II , Journal of Approximation Theory , 122(1), 79-96, (2003) [.pdf]. 

  • J. S. Dehesa, A. Martínez-Finkelshtein, V. N. Sorokin. Asymptotics of information entropies of some Toda-like potentials, J. Math. Phys. Vol. 44, No. 1, 36-47 (2003)  [.ps and .pdf].

  • J. Sánchez-Ruiz, P. L. Artés, J. S. Dehesa. Expansion in series of varying polynomials and some applications to molecular potentials. J. Computational and Applied Math. Vol. 153. Elsevier, pp 411-421. (2003) [.pdf].

  • Meijer, H. G., Piñar, M. A. A generating function for Laguerre-Sobolev orthogonal polynomials, J. Approx. Theory 120  no. 1, 111-123 (2003) [.pdf],

  • A.Cachafeiro, F. Marcellán, J.J. Moreno-Balcázar. On asymptotics properties of Freud-Sobolev orthogonal polynomials, Journal of Approximation Theory, 125 (1) pp. 26-41 (2003) [.pdf].

  • A. Martínez-Finkelshtein, El Análisis Numérico en los Últimos 25 años, Revista LLULL 26, 919-928 (2003).

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2002

  • A. Martínez-Finkelshtein, P. Martínez-González, A. Zarzo. WKB approach to zero distribution of solutions of linear second order differential equations, J. Comput. Appl. Math. 145, 167-182 (2002).

  • J.F. Sánchez Lara. On the asymptotic expansion of the entropy of Gegenbauer polynomials, J. Comput. Appl. Math. 142, 401-409 (2002).

  • M. Álvarez de Morales, T.E. Pérez, M.A. Piñar. Orthogonal polynomials associated to a $\Delta$-Sobolev inner product, Journal of Difference equations and applications 8 (2) 125-151 (2002).

  • M. Alfaro, M. Alvarez de Morales, M.L. Rezola. Orthogonality of the Jacobi polynomials with negative integers parameters, Journal of computational and applied mathematics 145 379-386 (2002).

  • A. Martínez-Finkelshtein, E. B. Saff. Asymptotic properties of Heine-Stieltjes and Van Vleck polynomials, J. Approx. Theory 118, 131-151 (2002) [.pdf]. 

  • J. S. Dehesa, A. Martínez-Finkelshtein, V. N. Sorokin. Quantum information entropies for highly excited states of single-particle systems with power-type potentials, Phys. Review A, Vol. 66, 062190, 1-7 (2002)  [.pdf]. 

  • J. S. Dehesa, A. Martínez-Finkelshtein, V. N. Sorokin. Short-wave asymptotics of the information entropy of a circular membrane, Int. J. Bifurcation and Chaos, Vol. 12, No. 11, 2387-2392 (2002) [.ps and .pdf].

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2001

  • M. Alfaro, J. J. Moreno Balcázar, T.E. Pérez, M.A. Piñar., M. L. Rezola, Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs, J. Comput. Appl. Math. 133(1-2), 141-150 (2001).

  • F. Marcellán, J.J. Moreno Balcázar. Strong and Plancherel-Rotach asymptotics for non-diagonal Laguerre-Sobolev orthogonal polynomials, J. Approx. Theory 110(1), 54-73 (2001).

  • A. Martínez-Finkelshtein, P. Martínez-González, R. Orive. On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters, J. Comput. Appl. Math. 133, 477-487 (2001).

  • J. S. Dehesa, A. Martínez-Finkelshtein, J. Sánchez-Ruíz. Quantum information entropies and orthogonal polynomials , J. Comput. Appl. Math. 133, 1-2,23-46 (2001).

  • F. Marcellán, A. Martínez-Finkelshtein, J. J.Moreno-Balcázar. k-coherence of measures with non-classical weights, In: Margarita Mathematica en honor de José Javier Guadalupe Hernández, Chicho. Serv. Publ. Universidad de La Rioja, (2001).

  • A. Martínez-Finkelshtein. Analytic aspects of Sobolev orthogonality revisited, Comput. and Appl. Math. 127 (1-2) (2001), 255-266.

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2000

  • A. Martínez-Finkelshtein. Bernstein-Szegö's theorem for Sobolev orthogonal polynomials, Constr. Approx. 16, (2000), 73-84.

  • V. S. Buyarov, P. López-Artés, A. Martínez-Finkelshtein, W. Van Assche. Information entropy of Gegenbauer polynomials, J. of Physics A 33, 37 (2000), 6549-6560.

  • I. Area, E. Godoy, F. Marcellán, J.J. Moreno Balcázar. Inner products involving q-differences: the little q-Laguerre-Sobolev polynomials, J. Comput. Appl. Math. 118, (2000), 1-22.

  • I. Area, E. Godoy, F. Marcellán, J.J. Moreno Balcázar. Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials, J. Comput. Appl. Math. 116, (2000), 63-75.

  • M. Álvarez de Morales, J. J.Moreno Balcázar, T.E. Pérez, M.A. Piñar. Non-diagonal Hermite-Sobolev orthogonal polynomials, Acta Applicandae Mathematicae 61, (1-3) (2000), 257-266.

  • H.G. Meijer, T.E. Pérez, M.A. Piñar. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type, J. Math. Anal. Appl. 245, 528-546 (2000).

  • M. Alfaro, T.E. Pérez, M.A. Piñar, M.L. Rezola. On symmetric differential operators associated with Sobolev bilinear forms: A characterization, Acta Applicand. Math. 61, 3-14 (2000).

    E.M. García-Caballero, T.E. Pérez, M.A. Piñar. Hermite interpolation and Sobolev orthogonality, Acta Applicand. Math. 61, 87-99 (2000).

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1999

  • D. Barrios, G. López, A. Martínez, E. Torrano. Finite-dimensional approximations of the resolvent of an infinite band matrix: Applications, Matem. Sbornik 190, No. 4 (1999), 23-42. Trad. al inglés en Sbornik: Mathematics 190, No. 4 (1999), 501-519.

  • J.J. Moreno-Balcázar, A. Martínez-Finkelshtein. Analytic properties of non-diagonal Jacobi-Sobolev orthogonal polynomials, J. Comput. and Appl. Math. 105, 1-2 (1999), 393-401.

  • V. S. Buyarov, J. S. Dehesa, A. Martínez-Finkelshtein, E. B. Saff. Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights, J. Approx. Theory 99 (1999), 153-166, Article jath.1988.3315.

  • M. Alfaro, A. Martínez-Finkelshtein, M. Rezola. Asymptotic Properties of Balanced Extremal Sobolev Polynomials: Coherent Case, J. Approx. Theory 100 (1999), 44-59.

  • A. Martínez-Finkelshtein, H. Pijeira Cabrera. Strong Asymptotics for Sobolev Orthogonal Polynomials, J. d'Analyse Math. 78 (1999), 143-156.

  • H. G. Meijer, M. Piñar. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type, J. Comput. Appl. Math. 108 (1999), 87-97.

  • J. Sánchez-Ruiz, P. L. Artés, A. Martínez-Finkelshtein, J. S. Dehesa. General linearization formulas for products of continuous hypergeometric-type polynomials, J. of Physics A 32, 42 (1999), 7345-7366.

  • M. Alfaro, M. L. Rezola, T.E. Pérez, M.A. Piñar. Sobolev orthogonal polynomials: the discrete-continuous case, Methods Appl. Anal. 6, 4 (1999), 593-616.

  • M. Álvarez de Morales, T.E. Pérez, M.A. Piñar, A. Ronveaux. Non-standard orthogonality for Meixner polynomials, Electronic Trans. Numer. Anal. 9 (1999), 1-25.

  • E.M. García-Caballero, T.E. Pérez, M.A. Piñar. Sobolev orthogonal polynomials: Interpolation and approximation, Electronic Trans. Numer. Anal. 9, 56-64 (1999).

  • A.M Cegarra, L. Fernándezr. Cohomology of cofibred categorical groups, J. Pure Appl. Algebra 143  no. 1-3, 107-154 (1999).

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1998

  • D. Barrios, G. López, A. Martínez, E. Torrano. On the domain of convergence and poles of complex J-fractions, J. Approx. Theory 93 (2), 177-200 (1998).

  • A. Martínez-Finkelshtein, J.J. Moreno-Balcázar, T. Pérez, M. Piñar. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures, J. Approx. Theory 92 (2), 280-293 (1998).

  • J.J. Moreno-Balcázar, F. Reche-Lorite. Teaching polynomial fitting to a set of data via orthogonal polynomials. International Journal of Mathematical Education in Science and Technology 29 (4), 481-488 (1998).

  • M. Álvarez de Morales, T. Pérez, M. Piñar. Sobolev orthogonality for the Gegenbauer polynomials {C_n^{(-N+1/2)}_{n > 0}, J. Comput. Appl. Math. 100, 111-120 (1998).

  • A. Martínez-Finkelshtein. Asymptotic properties of Sobolev orthogonal polynomials, Comput. and Appl. Math. 99 (1998), 491-510.

  • P. L. Artés, J. S. Dehesa, A. Martínez-Finkelshtein, J. Sánchez-Ruiz. Linearization and connection coefficients for hypergeometric-type polynomials, Comput. and Appl. Math. 99 (1998), 15-26.

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1997

  • F. Marcellán, H. G. Meijer, T. Pérez, M. Piñar. An asymptotic result for Laguerre-Sobolev orthogonal polynomials, J. Comput. Appl. Math. 87 (1997), 87-94.

  • A. Martínez-Finkelshtein, J.J. Moreno-Balcázar, H. Pijeira-Cabrera. Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials, J. Comput. and Appl. Math. 81 (1997), 211-216.

  • F. Marcellán, A. Martínez-Finkelshtein, J.J. Moreno-Balcázar. Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support, J. Comput. and Appl. Math. 81 (1997), 217-227.

  • A. Martínez Finkelshtein, J.J. Moreno Balcázar, H. Pijeira Cabrera, Asymptotics for Gegenbauer-Sobolev type polynomials, Complex Methods in Approximation Theory, 85-92 (1997).

  • A. Martínez-Finkelshtein, J.J. Moreno-Balcázar. Asymptotics of Sobolev orthogonal polynomials for Jacobi weights, Methods and Applications of Analysis 4 (4), 430-437 (1997).

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1996

  • M. Bello, A. Martínez. Zero asymptotics of Laurent orthogonal polynomials, J. Approx. Theory, 85, No. 3 (1996), 324-342.

  • T. E. Pérez, M.A. Piñar. On Sobolev orthogonality for the generalized Laguerre polynomials, J. Approx. Theory, 86, (1996), 278-285.

  • F. Marcellán, T. E. Pérez, M.A. Piñar. Laguerre-Sobolev orthogonal polynomials, J. Comput. Appl. Math., 71, (1996), 245-265.

  • F. Marcellán, T. E. Pérez, M.A. Piñar, A. Ronveaux. General Sobolev orthogonal polynomials, J. Math. Anal. Appl., 200, (1996), 614-634.

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1995

  • G. López Lagomasino, A. Martínez Finkelshtein. Rate of convergence of two-point Pade approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials, Constr. Approx., 11, (1995), 255-286.

  • A. Martínez, A. Zarzo, R. Yañez. Two approaches to the zero asymptotics of a class of hypergeometric-type polynomials, Matem. Sbornik, 185, (12), (1994), 65 -78; English Trans. in Russian Acad. Sci. Sb. Math., Vol 83, (1995), No. 2, 483-493.

  • A. Martínez, A. Zarzo. Varying orthogonality for a class of hypergeometric-type polynomials, Approximation and Optimization in the Caribbean II, M. Florenzano, J. Guddat, M. Jiménez, H. Th. Jongen, G. López, F. Marcellán, (eds.), Peter Lang Series on Approximation and Optimization, Vol. 8, (1995), 540-554.

  • A. Martínez. Asymptotic properties of some Laurent-type polynomials, Approximation and Optimization in the Caribbean II, M. Florenzano, J. Guddat, M. Jiménez, H. Th. Jongen, G. López, F. Marcellán, (eds.), Peter Lang Series on Approximation and Optimization, Vol. 8, (1995), 529-539.

  • F. Marcellán, T. E. Pérez, J.C. Petronilho, M.A. Piñar. What is beyond coherent pairs of orthogonal polynomials?, J. Comput. Appl. Math., 65, (1995), 267-277.

  • F. Marcellán, T. E. Pérez, M.A. Piñar. Regular Sobolev-type orthogonal polynomials. The Bessel case, Rocky Mountain J. Math., 25 (4), (1995), 1431-1457.

  • F. Marcellán, T. E. Pérez, M.A. Piñar. Orthogonal polynomials on weighted Sobolev spaces: The semiclassical case, Annals of Numerical Math., 2, (1995), 93-122.

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CONFERENCE PROCEEDINGS:

  1. F. Marcellán, T. E. Pérez, M.A. Piñar.
    Gegenbauer-Sobolev orthogonal polynomials    , Non Linear Numerical Methods and Rational Approximation. A. Cuyt (ed.). Kluwer, Dordrecht, (1994), 71-82.

  2. J.J.Moreno-Balcázar, F. Reche Lorite.
    Polinomios Ortogonales y curvas polinómicas de regresión: un enfoque didáctico.     VII Jornadas Andaluzas de Educación Matemática. Córdoba, (1996), p. 633-640.

  3. A. Martínez Finkelshtein.
    Trajectories of quadratic differentials and approximations of exponents on the semiaxis    , in "Complex Methods in Approximation Theory", A. Martínez Finkelshtein, F. Marcellán, J.J. Moreno, eds., University of Almería, p. 69-84 (1997).

  4. A. Martínez Finkelshtein, J.J. Moreno-Balcázar y H. Pijeira-Cabrera,.
    Asymptotics for Gegenbauer-type polynomials, en "Complex Methods in Approximation Theory", A. Martínez Finkelshtein, F. Marcellán, J.J. Moreno, eds., University of Almería, p. 85-91 (1997).

  5. A. Martínez Finkelshtein, A. Zarzo.
    Zero distribution of solutions of linear second order differential equations    , en "Complex Methods in Approximation Theory", A. Martínez Finkelshtein, F. Marcellán, J.J. Moreno, eds., University of Almería, p. 93-108 (1997).

  6. M. Álvarez de Morales, T.E. Pérez, M.A. Piñar, A. Ronveaux.
    Orthogonal polynomials associated to a non diagonal Sobolev inner product with polynomials coefficients    , In W. B. Jones and A. Sri Ranga (eds), "Orthogonal Polynomials, Moment Theory and Continued Fractions: Theory and Applications" (Marcel Dekker, N.Y., 1997), Chapter 16, 343-358

  7. T.E. Pérez, M.A. Piñar.
    Sobolev orthogonality and properties of the Laguerre polynomials    , In W. B. Jones and A. Sri Ranga (eds), "Orthogonal Polynomials, Moment Theory and Continued Fractions: Theory and Applications" (Marcel Dekker, N.Y., 1997), Chapter 18, 375-385.

  8. P. Martínez, R. Yáñez, A. Zarzo.
    A study of the relativistic Hermite polynomials from the differential equation that they satisfy    , In Proceedings Workshop "Adavanced Special Functions and Applications", Melfi, Italia 9-12 de mayo de 1999 (Aracne Editrice, Rome, p. 127-146, 2000).

  9. J. Sánchez Ruiz, P.López Artés, A. Martinez Finkelshtein, J.S.Dehesa.
    Linearization problems of hypergeometric polynomials in Quantum physics. In Proceedings Workshop "Adavanced Special Functions and Applications", Melfi, Italia 9-12 de mayo de 1999 (Aracne Editrice, Rome, p. 2000).

  10. A. Martínez-Finkelshtein, P. Martínez-González, R. Orive.
    Zeros of Jacobi polynomials with varying non-classical parameters    , In Proc. International Workshop on Special Functions: Asymptotics, Harmonic Analysis, and Mathematical Physics. Hong-Kong, Junio 1999 (World Scientific, p. 98-113, 2000).

  11. F. Marcellán, A. Martínez-Finkelshtein, P. Martínez-González.
    Electrostatic and asymptotic distribution of zeros of polynomials.     In Proc. of the I Jaén International Meeting on Approximation Theory, (2001).

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TALKS:

  1. T. Pérez.
    On Sobolev Orthogonality for the Genaralized Laguerre Polynomials, lecture at Departamento de Ciências da Computaçao e Estatistica, IBILCE, Universidade Estadual Paulista (UNESP), Sao José do Rio Preto, SP, Brasil, Sept. 12, 1995.

  2. A. Martínez Finkelshtein.
    Some old and new results on asymptotics of real Sobolev orthogonal polynomials    , Universidad Carlos III de Madrid, Nov. 1996.

  3. T. E. Pérez.
    Orthogonality of generalized Laguerre polynomials, talk at Seminario Rubio de Francia, Department of Mathematics, University of Zaragoza, March 21, 1996.

  4. T. E. Pérez.
    Sobolev-type ortogonality and properties of the generalized Laguerre polynomials, talk at Seminarium Teoria Operatorów, of the Instytut 
    Matematyki, Uniwersytetu Jagiellonskiego, Krakow (Poland), Dec. 3, 1996.

  5. A. Martínez Finkelshtein.
    Trabajos de P.L. Chebyshev relacionados con el paralelogramo de Watt, cycle of 3 lectures at Seminario de Historia de las Ciencias, University of Zaragoza, June 1997.

  6. A. Martínez Finkelshtein.
    Asymptotic properties of Sobolev orthogonal polynomials,     invited talk at VIII Simposium on Orthogonal Polynomials and Applications, Seville, September 22-26, 1997.

  7. F. Marcellán, (with A. Martínez-Finkelshtein and J.J. Moreno-Balcázar).
    Sobolev polynomials and k coherence". talk at VIII Simposium on Orthogonal Polynomials and Applications, Seville, September 22-26, 1997. 

  8. P. Martínez González, (with A. Zarzo).
    Computing the Asymptotic zero Distribution of solutions of Oscillatory Second Order Differential Equations. talk at VIII Simposium on Orthogonal Polynomials and Applications, Seville, September 22-26, 1997. 

  9. J. Sánchez Ruiz, (with P. López Artés, A. Martinez Finkelshtein and J.S.Dehesa).
    Generalized linearization relations for products of hypergeometric-type polynomials.     talk at VIII Simposium on Orthogonal Polynomials and Applications, Seville, September 22-26, 1997. 

  10. A. Martínez Finkelshtein, (with V. Buyarov, J. S. Dehesa and E. B. Saff).
    Information entropy for orthogonal polynomials, talk at III International Conference on Computational Methods and Function Theory, University of Cyprus, Nicosia, Cyprus, october 13-17, 1997. 

  11. J.J. Moreno-Balcázar, (with A. Martínez-Finkelshtein).
    On non-diagonal Jacobi-Sobolev polynomials: analytic properties.     Talk at International Conference "Continued Fractions and Geometric Function Theory".  Trondheim (Norwey), 1997

  12. T. E. Pérez.
    Sobolev orthogonality for Gegenbauer polynomials, talk at Seminario Rubio de Francia, Department of Mathematics, University of Zaragoza, October 24, 1997.

  13. J.J. Moreno-Balcázar.
    Ortogonalidad Sobolev y pares k-coherentes de medidas. Talk at Seminario "Rubio de Francia", Department of Mathematics, University of Zaragoza, March 12, 1998.

  14. A. Martínez-Finkelshtein.
    Analytic aspects of Sobolev orthogonality revisited.     Talk at III International Research Workshop "Density functionals and complex analysis" (INTAS'98), University of Almería, February 11-13, 1998.

  15. J.J. Moreno-Balcázar.
    Sobolev orthogonal polynomials with non-classical weights and k-coherence.     Talk at III International Research Workshop "Density functionals and complex analysis" (INTAS'98), University of Almería, February 11-13, 1998.

  16. P. López Artés.
    A unified approach for linearization and connection for hypergeometric type polinomials.     Talk at III International Research Workshop "Density functionals and complex analysis" (INTAS'98), University of Almería, February 11-13, 1998.

  17. T. E. Pérez.
    Una aplicación de la ortogonalidad Sobolev: Aproximación e Interpolación, talk at Seminario Rubio de Francia, Department of Mathematics, University of Zaragoza, Nov.19, 1998.

  18. A. Martínez-Finkelshtein, (with V. Buyarov, P. López Artés and W. Van Assche).
    Information entropy of Gegenbauer polynomials.     Talk at IV International Research Workshop "Density functionals and complex analysis" (INTAS'98), KLeuven, Belgium, Feb.1999.

  19. P. Martínez González, (with A. Martínez Finkelshtein and R. Orive).
    Ceros de polinomios clásicos con parámetros no clásicos. Invited talk at V Encuentro de Análisis Real y Complejo, Baeza, April 22-25, 1999. 

  20. J. Sánchez Ruiz, (with P.López Artés, A. Martinez Finkelshtein and J.S.Dehesa).
    Linearization problems of hypergeometric polynomials in Quantum physics,     Talk at International Workshop "Advanced special functions and applications", Melfi (Italy), May 9-12, 1999. 

  21. M. Piñar, (with M. Álvarez de Morales, J.J. Moreno-Balcázar and T. Pérez).
    Non-diagonal Hermite-Sobolev orthogonal polynomials.     Talk at ICRA'99, June6-11, 1999, Antwerp, Belgium 

  22. J.J. Moreno-Balcázar.
    Polinomios ortogonales de Sobolev: propiedades asintóticas en el caso no acotado. Talk at Reunión Científica del Instituto Carlos I de Física Teórica y Computacional, June 14-15, 1999, Granada.

  23. A. Martínez Finkelshtein, (with P. Martínez González and R. Orive).
    Zeros of classical polynomials with varying non-classical parameters,     Talk at International Workshop on Special Functions: Asymptotics, Harmonic Analysis, and Mathematical Physics, City University of Hong Kong, June 21-25, 1999.

  24. A. Martínez Finkelshtein, (with J. Sánchez Dehesa).
    Entropy-like functionals for Orthogonal Polynomials, Asymptotics and some Physical Applications.     Invited talk at V International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Grece, September 20-24, 1999. 

  25. P. Martínez González, (with A. Martínez Finkelshtein and R. Orive).
    Non-hermitian orthogonality and distribution of zeros of some classical polynomials with varying parameters. Talk at V International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Grece, September 20-24, 1999. 

  26. M. Alfaro, (with J.J. Moreno-Balcázar, M. Piñar, T. Pérez and M. Rezola).
    Hermite-Sobolev orthogonal polynomials.     Talk at V International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Grece, September 20-24, 1999. 

  27. R. Orive, (with  A. Martínez Finkelshtein and P. Martínez González).
    Distribution of zeros of some classical polynomials hit varying parameters. Special cases.     Talk at V International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Grece, September 20-24, 1999.

  28. A. Zarzo, (with P. Martínez-González and A. Martínez-Finkelshtein).
     Asymptotic zero distribution of solutions of oscillatory second order differential equations. Talk at International Workshop on Special     Functions: Asymptotics, Harmonic Analysis, and Mathematical Physics. June 1999, Hong-Kong

  29. A. Zarzo, (with P. Martínez-González and R. J. Yáñez).
    A study of relativistic Hermite polynomials from the differential equation that they satisfy.     Talk at International Workshop "Advanced special functions and applications", Melfi (Italy), May 9-12, 1999.   

  30. J.J. Moreno-Balcázar.
    A Mehler-Heine formula for Laguerre-Sobolev orthogonal polynomials.     Talk at Joint Mathematical European-Arabic Conference, June 3-7, 2000, Granada.

  31. P. López Artés, (with A. Martínez Finkelshtein, V. Buyarov and W. Van Assche).
    A Method to compute the entropy of Gegenbauer polynomials with integer parameter. Talk at Joint Mathematical European-Arabic Conference, June 3-7, 2000, Granada.

  32. P. Martínez-González.
    Asintótica débil de soluciones de ecuaciones diferenciales lineales de segundo orden. Invited talk at Instituto Carlos I de Física Teórica y Computacional de la Universidad de Granada. February 16, 2000, Granada.

  33. R. Orive, (with  P. Martínez González and A. Martínez Finkelshtein).
    Asymptotics of polynomial solutions of a class of generalized Lamé differential equations.     Talk at International Workshop on Orthogonal Polynomials. Universidad Carlos III de Madrid, June 2002.

  34. T. E. Pérez.
    Operadores de Bernstein y de tipo Berntein, talk at the Research Seminar on Approximation Theory and Orthogonal Polynomials. University of Almería, October 25, 2002.

  35. A. Martínez Finkelshtein
    Information entropy of polynomials orthogonal on an interval    , talk at International Conference on Advances in Constructive Approximation. Center for Constructive Approximation, Vanderbilt University, Nashville, TN (USA), May 14-17, 2003.

  36. A. Martínez Finkelshtein
    Jacobi polynomials with general parameters    , invited talk at the Special Session "Constructive Approximation" of the First Joint Meeting of the American Mathematical Society and la Real Sociedad Matemática Española. Seville (Spain), June 18-21, 2003.

  37. A. Martínez Finkelshtein
    Strong asymptotics for Jacobi polynomials with varying nonstandard parameters    , invited talk at the Special Session "Modern Function Theory" of the AMS at 2004 Joint Mathematics Meeting, Phoenix, AZ (USA), January 7-10, 2004. 

  38. A. Martínez Finkelshtein
    Potential Theory and Applications,     short course of 10 hours at 10th European Intensive Course on Complex Analysis and applications to partial differential equations, Universidade de Coimbra, Portugal,  May 31 - June 4, 2004.

  39. A. Martínez Finkelshtein
    Orthogonal polynomials on the unit circle: a matrix Riemann-Hilbert approach with some applications    , talk at 7th Annual Workshop on Applications and Generalizations of Complex Analysis, Universidade de Aveiro, Portugal, 4-5 de junio de 2004.

  40. A. Martínez Finkelshtein
    Information entropy of polynomials orthogonal on an interval    , invited talk at 5th Meeting on Approximation Theory, Ášbeda, Spain, June 9-14, 2004.

  41. A. Martínez Finkelshtein
    Equilibrium problems of the potential theory on the complex plane    , Summer School on Orthogonal Polynomials and Special Functions "Recent Trends in Computation and Applications", Universidad Carlos III de Madrid, Spain, July 8-18, 2004.

  42. A. Martínez Finkelshtein
    Riemann-Hilbert analysis for polynomials orthogonal on the unit circle    , invited talk at Constructive Functions Tech-04. Georgia Institute of Technology, Atlanta, GA (USA), November 7-9, 2004.   

  43. Teresa E. Pérez,
    Polinomios ortogonales clásicos en dos variables, Universidad Carlos III de Madrid, January 25, 2005.

  44. A. Martínez Finkelshtein
    Sobre polinomios ortogonales en la circunferencia unidad    ,  Special Session "Funciones especiales, polinomios ortogonales: aplicaciones" of the First Joint Congress of Mathematics RSME-SCM-SEIO-SEMA MAT.ES 2005, Valencia (Spain), January 31 - February 4, 2005.

  45. A. Martínez Finkelshtein
    Some aspects of multivariate interpolation    , short course of 8 hours, Universidade de Aveiro, Portugal, February 15-22, 2005.

  46. A. Martínez Finkelshtein
    New results for orthogonal polynomials on the unit circle    , invited talk at V International Conference on Computational Methods and Function Theory (CMFT 2005), University of Joensuu (Finland), June 13-17, 2005.

  47. A. Martínez Finkelshtein
    Problemas de frontera en la teoría de polinomios ortogonales    , invited talk at the Workshop "Avances recientes en ecuaciones diferenciales", Universidad de Almería, June 21-22, 2005.

  48. A. Martínez Finkelshtein
    Orthogonal Polynomials on the Unit Circle: the Riemann-Hilbert Perspective    , invited talk at Workshop 6, "Special functions and orthogonal polynomials", of the V Conference "Foundations of Computational Mathematics", Santander (Spain), June 30 - July 9, 2005.

  49. A. Martínez Finkelshtein, J. Sánchez Lara
    Shannon entropy of symmetric Pollaczek polynomials    , talk at the International Conference "Special Functions: Asymptotic Analysis and Computation, A Conference in Honor of Nico Temme'S 65th Birthday", Santander (Spain), July 4-6, 2005.

  50. A. Martínez Finkelshtein
    On extensions of a theorem of Baxter    , invited talk at the International ResearchWorkshop of the INTAS Network on Constructive Complex Approximation (NeCCA), Nizhniy Nóvgorod (Russia), August 28-31, 2005.

  51. A. Martínez Finkelshtein
    Polinomios ortogonales sobre la circunferencia unidad: nuevos resultados    , invited talk at Reunión del Grupo Consolidado "Análisis Matemático y sus aplicaciones", Albarracín (Spain), September 9-11, 2005.

  52. A. Martínez Finkelshtein
    Problemas de frontera en la teoría de polinomios ortogonales    , invited talk at the monographic session on approximation theory of the XIX Congreso de Ecuaciones Diferenciales y Aplicaciones and IX Congreso de la Sociedad Española de Matemática Aplicada, Universidad Carlos III de Madrid, September 19-23, 2005.   

  53. Teresa E. Pérez,
    Una fórmula de Rodrigues para polinomios ortogonales bivariados, Seminario Rubio de Francia, University of Zaragoza, October 6, 2005.

  54. A. Martínez Finkelshtein
    Boundary value problems in the theory of orthogonal polynomials    , Department of Mathematics, University of Pretoria, and School of Mathematics, University of the Witwatersrand (Southafrica), October 2005.

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BOOKS:

  1. Andrei Martínez Finkelshtein, F. Marcellán, Juan José Moreno Balcázar.
    Complex Methods in Approximation Theory. Servicio de Publicaciones de la Universidad de Almería, 1997, ISBN 84-8240-046-0.

  2. Juan José Moreno-Balcázar.
    Propiedades Analíticas de los Polinomios Ortogonales de Sobolev continuos. Universidad de Granada, 1997, ISBN.84-8498-825-2

  3. María Álvarez de Morales Mercado.
    Ortogonalidad no estándar para familias de polinomios clásicos. Universidad de Granada, 1998

  4. Andrei Martínez Finkelshtein, Juan José Moreno Balcázar.
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  6. Pedro lópez Artés.
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