RT Journal Article
T1 Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation
A1 Branquinho, Amílcar
A1 Díaz, Juan E. F.
A1 Foulquié Moreno, Ana
A1 Mañas Baena, Manuel Enrique
AB This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi–Piñeiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for general recurrence coefficients, as well as the stepline case, are provided for all these polynomial families. Furthermore, new explicit expressions for type I multiple orthogonal polynomials are derived for Laguerre of the second kind and also for multiple Hermite polynomials.
PB Wiley
SN 0022-2526
YR 2025
FD 2025-03
LK https://hdl.handle.net/20.500.14352/132830
UL https://hdl.handle.net/20.500.14352/132830
LA eng
NO Branquinho, A., Díaz, J. E., Foulquié‐Moreno, A., & Mañas, M. (2025). Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation. Studies in Applied Mathematics, 154(3), e70033.
NO © 2025 The Author(s).2025 Acuerdos transformativos CRUE-CSIC.UI/BD/152576/2022
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO European Commission
NO Fundação para a Ciência e a Tecnologia (Portugal)
NO Ministério da Ciência, Tecnologia e Ensino Superior (Portugal)
NO Centro de Matemática da Universidade de Coimbra
DS Docta Complutense
RD 26 feb 2026