1. “Differential system related to Krawtchouk polynomials: iterated regularisation and Painlevé equation”, G. Filipuk,
Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar, C. Rodríguez-Perales, submitted
2024.
2. “Asymptotic behavior
of the eigenvalues in the context of Sobolev orthogonality”, J. F. Mañas-Mañas, J. J.
Moreno-Balcázar, accepted
Coimbra Mathematical Texts, 2024.
3. “Mehler-Heine asymptotics
and zeros of some Meijer G-functions”, J. F. Mañas-Mañas, J. J.
Moreno-Balcázar, C. Rodríguez-Perales, Physica Scripta, 99, Art. 095221,
2024.
4. “Second–order difference equation
for Sobolev–type orthogonal polynomials. Part II: computational tools”, G. Filipuk, J. F. Mañas-Mañas, J. J. Moreno-Balcázar, East Asian Journal on Applied
Mathematics, 13,
960-979, 2023.
5. “Asymptotic analysis of a family of
Sobolev orthogonal polynomials related to the generalized Charlier
polynomials”, D.
Dominici, J. J. Moreno-Balcázar, Journal of
Approximation Theory,
293, Art. 105918, 2023.
6. “Characterization of orthogonal
polynomials on lattices”, J. F. Mañas-Mañas, D. Mbouna,
J. J. Moreno-Balcázar, Integral Transforms and Special Functions, 34(9),
675-689, 2023.
7. “¿Qué razones explican la falta de matemáticos y matemáticas en la Educación Secundaria?”, Iván Chércoles-Cuesta, Irene Ferrando, Juan J. Moreno-Balcázar, José L. Ríos-Calle, La Gaceta de la Real Sociedad Matemática Española, 26(1), 173-187, 2023.
8. “Second–order difference equation
for Sobolev–type orthogonal polynomials. Part I: theoretical results”, G. Filipuk, J. F. Mañas-Mañas, J. J. Moreno-Balcázar, Journal of Difference Equations and
Applications,
28(7), 971-989, 2022.
9. “Asymptotics
for some q-hypergeometric polynomials”, J. F. Mañas-Mañas, J. J.
Moreno-Balcázar, Results in Mathematics, 77 (4) Art. 146, 26 pp. 2022.
10. “Sobolev orthogonal polynomials: asymptotics and symbolic computation”, J. F. Mañas-Mañas,
J. J. Moreno-Balcázar, East Asian Journal on Applied Mathematics 12(3),
535-563, 2022.
11. “Eigenvalue Problem for Discrete
Jacobi–Sobolev Orthogonal Polynomials”, J. F. Mañas-Mañas, J. J.
Moreno-Balcázar, R. Wellman, Mathematics 8(2), Art. 182, 19 pp, 2020.
12. “Classical Sobolev orthogonal
polynomials: eigenvalue problem”, J. F. Mañas-Mañas, J. J. Moreno-Balcázar, Results
in Mathematics, 74(4), Art. 144, 12 pp., 2019.
13. “Gertrude Blanch, una pionera del análisis numérico”, J.J. Moreno-Balcázar, en Mujeres matemáticas. Trece matemáticas, trece espejos (Coordinado por Marta Macho), RSME y Ed. SM, Biblioteca de Estímulos Matemáticos, 2019, ISBN 978-84-9182-055-0.
14. “Modeling carbon dioxide for show
cave conservation”, E. Guirado, D. Ramos-López, A.D. Maldonado, J.J.
Moreno-Balcázar, J.M. Calaforra, Journal of Nature Conservation, 49, 76-84, 2019.
15. “Papel de software en la enseñanza y aprendizaje de los métodos numéricos en la universidad ecuatoriana”, M. Pinta, A. Montoro, J.J. Moreno-Balcázar, in Innovación Docente e Investigación en Ciencias, Ingeniería y Arquitectura, F. Egea, J. Gázquez, M. Molero, M. Simón, A. Martos, A. Barragán, N. Oropesa y J. Soriano (Eds.). Dykinson, S.L., 309-320, 2019.
16. “Linearization and Krein-like
functionals of hypergeometric orthogonal polynomials”, J.S. Dehesa, J.J.
Moreno-Balcázar, I.V. Toranzo, Journal of Mathematical Physics 59 (12),
Art.123504, 24 pp., 2018.
17. “Ladder operators and a differential
equation for varying generalized Freud-type orthogonal polynomials”, G. Filipuk, J. F. Mañas-Mañas, J. J. Moreno-Balcázar, Random
Matrix: Theory and Applications, 7(4), 2018, 28 pp.
18. “Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics”, L. L. Littlejohn, J. F. Mañas-Mañas, J. J.
Moreno-Balcázar, R. Wellman, Journal of Approximation Theory, 230, 32-49, 2018.
19. “Científicas y prensa”, J. J. Moreno-Balcázar, Cuadernos 44: La visibilidad de las científicas españolas, Fundación Dr. Antoni Esteve, pp. 56-57, 2018. ISSN 2385-5053.
20. “Ecuaciones diferenciales ordinarias”, J.J. Moreno-Balcázar, in Métodos Numéricos para el Análisis Matemático con Matlab, J. F. Mañas–Mañas, M. A. Pinta (editors), Ed. Utmach (Machala) Ecuador, (2018), 131–155 and Appendix F (263-306), ISBN: 978-9942-24-104-7.
21. “What is...a Sobolev Orthogonal Polynomial?”, F. Marcellán, J.J.
Moreno-Balcázar, Notices of the American
Mathematical Society, 64(8), 873-875, 2017.
22. “Asymptotics for varying discrete Sobolev
orthogonal polynomials”, J.F. Mañas-Mañas, F. Marcellán, J.J. Moreno-Balcázar, Applied Mathematics and Computation, 314, 65-79, 2017.
23. “Asymptotic behavior of varying discrete
Jacobi-Sobolev orthogonal polynomials”, J.F.
Mañas-Mañas, F. Marcellán, J.J. Moreno-Balcázar, Journal of Computational and Applied Mathematics, 300, 341-353, 2016.
24. “∆-Meixner-Sobolev orthogonal polynomials:
Mehler-Heine type formula and zeros”, J.J. Moreno-Balcázar, Journal of Computational and Applied
Mathematics, 284, 228-234, 2015.
25. “On the zeros of a class of
generalized hypergeometric polynomials”, C.F. Bracciali,
J.J. Moreno-Balcázar, Applied Mathematics and Computation,
253, 151-158, 2015.
26. “Asymptotic formulae for generalized
Freud polynomials”, M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Journal of
Mathematical Analysis and Applications, 421(1), 474-488, 2015.
27. “Mehler--Heine Asymptotics
of a Class of Generalized Hypergeometric Polynomials”, C.F. Bracciali,
J.J. Moreno-Balcázar, Oberwolfach Preprints 23, 2013.
28. “Varying discrete Laguerre-Sobolev
orthogonal polynomials: asymptotic behavior and zeros”, J.F. Mañas-Mañas, F. Marcellán, J.J. Moreno-Balcázar, Applied Mathematics and Computation, 222, 612-618, 2013.
29. “Jacobi-Sobolev orthogonal
polynomials: asymptotics and a Cohen type
inequality”, B. Xh. Fejzullahu, F. Marcellán, J.J. Moreno-Balcázar, Journal of Approximation Theory, 170, 78-93, 2013.
30. “Zeros of varying Laguerre-Krall
orthogonal polynomials”, L. Castaño-García, J.J. Moreno-Balcázar, Proceedings of the American Mathematical Society, 141(6), 2051-2060, 2013.
31. “Varying Sobolev type orthogonal
polynomials: the Laguerre case”, L. Castaño-García, J.J. Moreno-Balcázar, Jaen Journal on Approximation, 4(2), 85–99, 2012.
32. “Varying
Jacobi-Krall orthogonal polynomials: local asymptotic behaviour
and zeros”, J.J.
Moreno-Balcázar, The Ramanujan Journal, 28, 79-88, 2012.
33. “Contributions to the theory of Sobolev
orthogonal polynomials”, J.J.
Moreno-Balcázar, Book “Select works of Francisco J. Marcellán
Español”, pp. 55-70, Universidad Carlos III de Madrid, 2012.
34. “A new approach to the asymptotics for Sobolev orthogonal polynomials”, M. Alfaro,
J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Journal of Approximation Theory, 163,
460-480, 2011.
35. “A generating function for
nonstandard orthogonal polynomials involving differences: the Meixner case”,
J.J. Moreno-Balcázar, T.E. Pérez, M.A. Piñar, The Ramanujan Journal, 25, 21-35,
2011.
36. “The semiclassical-Sobolev
orthogonal polynomials: a general approach”, R.S. Costas-Santos, J.J.
Moreno-Balcázar, Journal of Approximation
Theory, 163(1), 65-83, 2011.
37. “On Sobolev type orthogonal polynomial with unbounded support: asymptotic properties”, M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 33, 209-223, 2010.
38. “Asymptotics
for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of
measures”, E.X.L. de Andrade, C.F. Bracciali, L.
Castaño-García, J.J. Moreno-Balcázar, Journal
of Approximation Theory, 162(11), 1945-1963,
2010.
39. “Some asymptotics
for Sobolev orthogonal polynomials involving Gegenbauer
weights”, C. F. Bracciali, L. Castaño-García, J.J.
Moreno-Balcázar, Journal of Computational
and Applied Mathematics, 235(4), 904-915,
2010.
40. “Asymptotics
for a generalization of Hermite polynomials”, M. Alfaro, J.J. Moreno-Balcázar,
A. Peña, M.L. Rezola, Asymptotic Analysis, 66, 103-117, 2010.
41. “Sobolev orthogonal polynomials:
balance and asymptotics”, M. Alfaro, J.J.
Moreno-Balcázar, A. Peña, M.L. Rezola, Transactions
of the American Mathematical Society, 361, 547-560, 2009.
42. “Mujeres matemáticas en las universidades andaluzas: 2001-2003, II”, J.J. Moreno-Balcázar, Matematicalia 4(4), 2008.
43. “Mujeres matemáticas en las universidades andaluzas: 2001-2003, I”, J.J. Moreno-Balcázar, Matematicalia 4(3), 2008.
44. “Asymptotics
and zeros of symmetrically coherent pairs of Hermite type”, M.G. de Bruin,
W.G.M. Groenevelt, F. Marcellán,
H.G. Meijer, J.J. Moreno-Balcázar, Difference Equations, Special Functions and
Orthogonal Polynomials (Proceedings of the International Conference Munich),
378-393, 2007.
45. “A note on the zeros of
Freud-Sobolev orthogonal polynomials”, J.J. Moreno-Balcázar, Journal of Computational and Applied
Mathematics, 207(2), 338-344,
2007.
46. “Asymptotics
and zeros of Sobolev orthogonal polynomials on unbounded supports”, F. Marcellán, J.J. Moreno-Balcázar, Acta Applicandae Mathematicae,
94(2), 163-192, 2006.
47. “Smallest zeros of some types of
orthogonal polynomials: asymptotics”, J.J.
Moreno-Balcázar, Journal of Computational
and Applied Mathematics, 179,
289-301, 2005.
48. “D-Sobolev orthogonal polynomials of Meixner
type: asymptotics and limit relation”, I. Area, E.
Godoy, F. Marcellán, J.J. Moreno-Balcázar, Journal of Computational and Applied
Mathematics,178, 21-36, 2005.
49. “La
investigación de las mujeres matemáticas en Andalucía en los albores del siglo
XXI: 2001-2003”, María del
Mar Campos Pérez, Juan J. Moreno Balcázar , Ana Belén
Rubio García,
La Gaceta de la Real Sociedad Matemática Española, 7(3), 679-690, 2004.
50. “Asymptotic properties of
generalized Laguerre orthogonal polynomials”, R. Álvarez-Nodarse, J.J.
Moreno-Balcázar, Indagationes Mathematicae,
15(2), 151-165, 2004.
51. “On Asymptotic properties of
Freud--Sobolev orthogonal polynomials”, A. Cachafeiro, F. Marcellán,
J.J. Moreno-Balcázar, Journal of
Approximation Theory, 125(1),
26-41, 2003.
52. “Laguerre-Sobolev orthogonal
polynomials: asymptotics for coherent pairs of type
II”, M. Alfaro, J.J. Moreno-Balcázar, M.L. Rezola, Journal of Approximation Theory, 122(1), 79-96, 2003.
53. “A
Mehler-Heine type formula for Hermite-Sobolev orthogonal polynomials”, L.
Castaño-García, J.J.
Moreno Balcázar, Journal of Computational
and Applied Mathematics, 150(1),
25-35, 2003.
54. “Strong and Plancherel-Rotach
asymptotics of non-diagonal Laguerre-Sobolev
orthogonal polynomials”, F. Marcellán, J.J. Moreno
Balcázar, Journal of Approximation Theory,
110(1), 54-73, 2001.
55. “Asymptotics
of Sobolev orthogonal polynomials for Hermite coherent pairs", M. Alfaro,
J.J. Moreno Balcázar, T. E. Pérez, M.A. Piñar, M.L. Rezola,
Journal of Computational and Applied
Mathematics, 133(1-2), 141-150, 2001.
56. “k-coherence of measures with non-classical weights”, F. Marcellán, A. Martínez Finkelshtein, J.J. Moreno Balcázar, Margarita Mathematica en honor de José Javier Guadalupe Hernández, Chicho; Servicio de Publicaciones Universidad de La Rioja, 77-83, 2001. M
57. “Non-diagonal Hermite-Sobolev orthogonal polynomials”, M. Alvarez de Morales, J. J. Moreno Balcázar, T.E. Pérez, M.A. Piñar, Acta Applicandae Mathematicae, 61(1/3), 257-266, 2000.
58. “Inner products involving
q-differences: the little q-Laguerre-Sobolev polynomials”, I. Area, E.Godoy, F. Marcellán, J.J. Moreno Balcázar, Journal of Computational and Applied Mathematics, 118, 1-22, 2000.
59. “Ratio and Plancherel-Rotach
asymptotics for Meixner-Sobolev orthogonal
polynomials”, I. Area, E.Godoy,
F. Marcellán,
J.J., Moreno Balcázar, Journal of
Computational and Applied Mathematics, 116, 63-75, 2000.
60. “Analytic properties of nondiagonal
Jacobi-Sobolev orthogonal polynomials”, J.J. Moreno Balcázar, A. Martínez Finkelshtein, Journal
of Computational and Applied Mathematics, 105(1-2), 343-401, 1999.
61. “Asymptotics
of Sobolev orthogonal polynomials for coherent pairs of measures”, A. Martínez Finkelshtein, J.J. Moreno Balcázar, T.E Pérez, M.A. Piñar, Journal of Approximation Theory, 92,
280-293, 1998.
62. “Teaching polynomial fitting to a
set of data via orthogonal polynomials”, J.J. Moreno Balcázar, F. Reche Lorite, International
Journal of Mathematical Education in Science and Technology, 29(4),
481-488, 1998.
63. “Asymptotics
of Sobolev orthogonal polynomials for a Jacobi weight”, A. Martínez Finkelshtein, J.J. Moreno Balcázar, Methods and Applications of Analysis, 4(4), 430-437, 1997.
64. “Asymptotics
of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures
with compact support”, F. Marcellán, A. Martínez Finkelshtein, J.J. Moreno Balcázar, Journal of Computational and Applied Mathematics, 81, 217-227,
1997.
65. “Strong asymptotics
for Gegenbauer-Sobolev orthogonal polynomials”, A.
Martínez Finkelshtein, J.J. Moreno Balcázar, H. Pijeira Cabrera, Journal
of Computational and Applied Mathematics, 81, 211-216, 1997.
66. “Asymptotics
for Gegenbauer-Sobolev type polynomials”, A. Martínez
Finkelshtein, J.J. Moreno Balcázar, H. Pijeira Cabrera, in Complex
Methods in Approximation Theory, 85-92, 1997.
1. J.F. Mañas-Mañas, F. Marcellán, J.J. Moreno-Balcázar, “Local asymptotics for a family of Sobolev type
orthogonal polynomials”, Proceedings
of the 12th International Conference on Computational and Mathematical Methods
in Science and Engineering, CMMSE 2012, pp 785-791.
ISBN:978-84-615-5392-1, 2012.
2. Laura Castaño-García, Juan J.
Moreno-Balcázar, “Varying Laguerre-Sobolev-type orthogonal polynomials: a first
approach”, Proceedings of the 11th International Conference on Computational
and Mathematical Methods in Science and Engineering (CMMSE 2011) (ISBN
978-84-614-6167-7), 296-301, 2011.
3. Laura Castaño-García, Juan J.
Moreno-Balcázar, “Mehler-Heine type formulas for some Sobolev ortogonal polynomials”, Proceedings of the 10th
International Conference on Computational and Mathematical Methods in Science
and Engineering (CMMSE 2010) (ISBN 978-84-613-5510-5), 333-341, 2010.
4. Pulido Bosch, J.M. Calaforra, L. Molina, F. Sánchez Martos, A. Vallejos, J. Gisbert, M.L. Calvache, M. López Chicano, W. Martín Rosales, J.J. Moreno Balcázar, B. Van Wesemael, L. Daniele, M.A. Díaz Puga, “Caracterización hidrogeológica de acuíferos kársticos en regiones semiáridas. El caso del macrosistema Turón-Sierra de Gádor”, GeoTema 10 (actas del VII Congreso Geológico de España, ISSN 1567-5172), 1581-1584, 2008.
5. J.J. Moreno-Balcázar, “Algunos resultados recientes en polinomios ortogonales de Sobolev”, Actas de XX Congreso de Ecuaciones Diferenciales y Aplicaciones, X Congreso de Matemática Aplicada (CEDYA2007), (ISBN 978-84-690-7182-3), 1-7, 2007.
6. J.J. Moreno-Balcázar, “Asintótica de polinomios ortogonales de Sobolev continuos: caso no acotado”, Actas del Encuentro de Matemáticos Andaluces, (ISBN 8447202909), 663-670, 2001.
7. J.J. Moreno-Balcázar, F. Reche-Lorite, “Polinomios Ortogonales y curvas polinómicas de regresión”, Actas de las VII Jornadas Andaluzas de Educación Matemática, Servicio de Publicaciones Universidad de Córdoba, Actas Nº. 25, 633-640, 1996.