Publications
Preprints:
-
K. Castillo, G. Filipuk, D. Mbouna, On classical orthogonal polynomials on bi-lattices, submitted. Prepint arXiv.
-
G. Castro-Luna, A.B. Castaño-Fernández, N. Sánchez-Liñan, S. Márquez-Díaz, Importance of different topographic, biometric, and retinal parameters to calculate the intraocular lens power in cataract surgery, submitted.
-
J. Carrillo, T. Parrón-Carreño, A.B. Castaño-Fernández, B.J. Nievas-Soriano, G. Castro-Luna, Sepsis mortality prediction with Machine Learning Tecniques, submitted.
-
S. Díaz-Elbal, D. Ramos-López, A. Martínez-Finkelshtein, Numerical analysis of interpolation with Zernike polynomials in non-standard geometries, preprint.
-
G. Filipuk, A note on the iterated polynomial regularisation of the cubic hamiltonian system and the fourth painlevé equation, submitted.
-
G. Filipuk, On the regularisation of the first Painlevé equation, submitted.
-
G. Filipuk, Regularisation and iterated regularisation of Hamiltonian systems of the second quasi--Painlevé equation, accepted in Appl. Numer. Math.
-
G. Filipuk, M. Graffeo, G. Gubbiotti, A. Stokes, The Painlevé equivalence problem for a constrained 3D system, submitted. Prepint arXiv.
-
G. Filipuk, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar, C. Rodríguez-Perales, Differential system related to Krawtchouk polynomials: iterated regularisation and Painlevé equation, submitted. Prepint arXiv.
-
G. Filipuk, C. Rodríguez-Perales, Generalized Charlier polynomials and iterated regularisation, submitted.
-
J. Halonen, R. Korhonen, G. Filipuk, A. Stokes, On Tropical second main theorem and the nevanlinna inverse problem, submitted. Prepint arXiv.
-
J. C. Luengo, D. Ramos-López, R. Rumí, Hybrid Bayesian networks based on mixtures of polynomials with tails for classification and regression, submitted.
-
A. D. Maldonado, D. Ramos-López, A. Fernández-Cortés, Predictive modeling of CO2 and Radon with Bayesian networks based on mixtures of polynomials in El Castañar cave. Preprint.
-
J. F. Mañas-Mañas, J. J. Moreno-Balcázar, Asymptotic behavior of the eigenvalues in the context of Sobolev orthogonality, aceptado en Coimbra Mathematical Texts, (Springer).
-
A. Martínez-Finkelshtein, R. Morales, D. Perales, Zeros of generalized hypergeometric polynomials via finite free convolution. Applications to multiple orthogonality, enviado. Preprint arXiv.
-
A. Martínez-Finkelshtein, E. A. Rakhmanov, Flow of the zeros of polynomials under iterated differentiation, submitted. Preprint arXiv.
2024
-
X. Liu, K. Liu, R. Korhonen, G. Filipuk, Quasiperiodicity of transcendetal meromorphic functions, Acta Math. Sci. Ser. B, 44(1), 161--172. DOI.
-
J. Garay, M. Gámez, Y. Solano-Rojas, I. López, A.B. Castaño-Fernández, Z. Varga, T.F. Mari, V. Csiszár, T. Cabello, Filial cannibalism of Nabis pseudoferus is not evolutionarily optimal foraging strategy, Sci. Rep. 14, (2024) Art. 9022. DOI.
-
J. C. Luengo, D. Ramos-López, R. Rumí, A. D. Maldonado, Contributions on Mixtures of Polynomials for Hybrid Bayesian Networks. In: Julian, V., et al. Intelligent Data Engineering and Automated Learning – IDEAL 2024. IDEAL 2024. Lecture Notes in Computer Science, vol 15346. Springer, Cham. DOI.
-
J. F. Mañas-Mañas, J. J. Moreno-Balcázar, C. Rodríguez-Perales, Mehler-Heine asymptotics and zeros of some Meijer G-functions. Phys. Scr. 99 (2024) Art. 095221. DOI.
-
A. Martínez-Finkelshtein, R. Morales, Interlacing and monotonicity of zeros of Angelesco-Jacobi polynomials, Pure Appl. Funct. Anal. 9 (5) (2024), 1259--1279. DOI. Preprint arXiv.
-
A. Martínez-Finkelshtein, R. Morales, D. Perales, Real roots of hypergeometric polynomials via finite free convolution, Int. Math. Res. Not. IMRN. 16 (2024), 11642–11687. DOI. También preprint en arXiv.
2023
D. Dominici, J. J. Moreno-Balcázar, Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials. J. Approx. Theory 293 (2023). Art. 105918. DOI. Preprint en arXiv.2210.00082.
G. Filipuk, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar, Second-order difference equation for Sobolev-type orthogonal polynomials. Part II: computational tools, East Asian J. Appl. Math. 13(4) (2023), 960--979. DOI.
G. Filipuk, A. Stokes, On Hamiltonian structures of quasi-Painlevé equations, J. Phys. A: Math. Theor. 56 (2023) Art. 495205. DOI.
G. Filipuk, A. Stokes, Takasaki's rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations, Nonlinearity, 36(10) (2023), Art. 5661. DOI.
C. F. Lardizabal, L. F. L. Pereira, Hitting time expressions for quantum channels: beyond the irreducible case and applications to unitary walks, Quantum Inf. Process. 22 (2023), Art. 304. DOI. Preprint arXiv.
A. Martínez-Finkelshtein, R. Orive, J. Sánchez-Lara, Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials, Constr. Approx. 58 (2023), 271--342. DOI. También prerpint en arXiv.
D. Mbouna, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar, Characterization of orthogonal polynomials on lattices, Integral Transforms Spec. Funct. 34(9) (2023), 675--689. DOI. También preprint en arXiv.
Funded by:
