Generalized Heine’s identity for complex Fourier series of binomials

DOI10.1098/rspa.2010.0222zbMath1219.33008arXiv0912.0126OpenAlexW2156501472MaRDI QIDQ3088953

Howard S. Cohl, Diego Ernesto Dominici

Publication date: 21 August 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0126

zbMATH Keywords

Legendre functionsFourier seriesHeine's identity

Mathematics Subject Classification ID

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

Related Items (6)

On a generalization of the Rogers generating function ⋮ Asymptotic expansions of the hypergeometric function with two large parameters—application to the partition function of a lattice gas in a field of traps ⋮ Fourier method for the Neumann problem on a torus ⋮ Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions ⋮ Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation ⋮ Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation

Cites Work

• Magnetostatics of the uniformly polarized torus

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