New Formulae of Squares of Some Jacobi Polynomials Via Hypergeometric Functions

DOI10.15672/HJMS.20164518618zbMath1370.33025OpenAlexW2420543103MaRDI QIDQ4977517

Waleed M. Abd-Elhameed

Publication date: 16 August 2017

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hjms.20164518618

zbMATH Keywords

Jacobi polynomialscomputer algebralinearization coefficientsgeneralized hypergeometric functionsstandard reduction formulae

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Generalized hypergeometric series, ({}_pF_q) (33C20) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

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New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae

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