Algebraic Generating Functions for Gegenbauer Polynomials

DOI10.1142/9789813228887_0022zbMath1411.33011arXiv1607.05215OpenAlexW2482152720WikidataQ62796021 ScholiaQ62796021MaRDI QIDQ5377727

Robert S. Maier

Publication date: 27 May 2019

Published in: Frontiers in Orthogonal Polynomials and q-Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05215

zbMATH Keywords

generating functionPoisson kernelLegendre polynomialGegenbauer polynomialLegendre functionhypergeometric transformation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (4)

Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation ⋮ On the relation between Gegenbauer polynomials and the Ferrers function of the first kind ⋮ Quaternion and fractional Fourier transform in higher dimension ⋮ Novel summation formulas for Jacobi and Gegenbauer polynomials

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