A note on Jacobi's generating function for the Jacobi polynomials

DOI10.3792/pjaa.61.201zbMath0555.33002OpenAlexW2043147604MaRDI QIDQ760554

Hari M. Srivastava

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.201

zbMATH Keywords

Jacobi's generating function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (4)

Some families of generating functions for the Jacobi polynomials ⋮ Some reduction formulas for multiple hypergeometric series ⋮ Some \(q\)-genrating functions and associated generalized hypergeometric polynomials ⋮ Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions

Cites Work

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• The generating function for the Jacobi polynomial
• Polynomes de Jacobi, Interpretation Combinatoire et Fonction Generatrice
• Jacobi's Generating Function for Jacobi Polynomials

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