Differential-difference properties of hypergeometric series

DOI10.1090/proc/16316OpenAlexW4298323992MaRDI QIDQ5889239

Bruno Salvy, Nicolas Brisebarre

Publication date: 19 April 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00393

zbMATH Keywords

orthogonal polynomialsrecurrence relationsgeneralized hypergeometric functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20)

Uses Software

• DLMF

Cites Work

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• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• Theory of non-commutative polynomials
• Recursion formulae for generalized hypergeometric functions
• Some Generating Functions for Laguerre and Hermite Polynomials
• On the Differential-Difference Properties of the Extended Jacobi Polynomials
• Differential-Difference Properties of Hypergeometric Polynomials
• Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials

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