Jacobi's Generating Function for Jacobi Polynomials

DOI10.2307/2042842zbMath0393.33010OpenAlexW4249444998MaRDI QIDQ4175863

Richard Askey

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2307/2042842

zbMATH Keywords

Generating Function For Legendre PolynomialsJacobi's Generating Function for Jacobi PolynomialsOrthogonality Relations for Jacobi PolynomialsRodrigues Formula

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) Research exposition (monographs, survey articles) pertaining to special functions (33-02) History of special functions (33-03)

Related Items (7)

Some families of generating functions for the Jacobi polynomials ⋮ Some reduction formulas for multiple hypergeometric series ⋮ A Short Proof of a Generating Function for Jacobi Polynomials ⋮ Combinatorics of Jacobi-configurations. III: The Srivastava-Singhal generating function revisited ⋮ Some \(q\)-genrating functions and associated generalized hypergeometric polynomials ⋮ Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions ⋮ A note on Jacobi's generating function for the Jacobi polynomials

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