Linearization formulae for certain Jacobi polynomials

DOI10.1007/s11139-014-9668-2zbMath1337.42030OpenAlexW2055182576MaRDI QIDQ2634573

Hany M. Ahmed, Waleed M. Abd-Elhameed, Eid H. Doha

Publication date: 16 February 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-014-9668-2

zbMATH Keywords

Jacobi polynomialsgeneralized hypergeometric functionslinearization problemsZeilberger algorithms

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) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (8)

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials ⋮ Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas ⋮ Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions ⋮ Unnamed Item ⋮ New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials ⋮ New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae ⋮ Computing expansions coefficients for Laguerre polynomials ⋮ New formulas including convolution, connection and radicals formulas of \(k\)-Fibonacci and \(k\)-Lucas polynomials

Uses Software

• DLMF

Cites Work

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