Some families of generating functions for the Jacobi polynomials

DOI10.1016/0898-1221(94)00235-DzbMath0814.33005OpenAlexW2013189098MaRDI QIDQ1346828

L. C. Gupta, Hari M. Srivastava

Publication date: 27 March 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00235-d

zbMATH Keywords

generating functionsJacobi polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

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• A note on Jacobi's generating function for the Jacobi polynomials
• Combinatorics of Jacobi-configurations. III: The Srivastava-Singhal generating function revisited
• Some generating functions for the Jacobi polynomials
• A WZ-style proof of Jacobi polynomials' generating function
• The generating function for the Jacobi polynomial
• New generating functions for Jacobi and related polynomials
• On Asymptotics of Jacobi Polynomials
• Polynomes de Jacobi, Interpretation Combinatoire et Fonction Generatrice
• A Short Proof of a Generating Function for Jacobi Polynomials
• An Elementary Proof of Bailey's Bilinear Generating Function for Jacobi Polynomials and of Its q-Analogue
• On a Generalization of the Poisson Kernel for Jacobi Polynomials
• Jacobi's Generating Function for Jacobi Polynomials
• The Generating Function of Jacobi Polynomials
• Generating Functions for Bessel and Related Polynomials

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