Generalizations of generating functions for higher continuous hypergeometric orthogonal polynomials in the Askey scheme

DOI10.1016/j.jmaa.2015.01.074zbMath1331.33012arXiv1405.1918OpenAlexW2963090549MaRDI QIDQ907731

Michael A. Baeder, Hans W. Volkmer, Howard S. Cohl

Publication date: 26 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1918

zbMATH Keywords

generating functionsorthogonal polynomialseigenfunction expansionsconnection coefficientsgeneralized hypergeometric functionsdefinite integrals

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

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Uses Software

• DLMF