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Title: Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
Author: Branquinho, Amílcar
Díaz, Juan E.F.
Foulquié-Moreno, Ana
Mañas, Manuel
Keywords: Multiple orthogonal polynomials
Askey scheme
Generalized hypergeometric functions
Kampé de Feriet hypergeometric functions
Issue Date: 1-Dec-2023
Publisher: Elsevier
Abstract: Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi–Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.
Peer review: yes
DOI: 10.1016/j.jmaa.2023.127471
ISSN: 0022-247X
Appears in Collections:CIDMA - Artigos
DMat - Artigos

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