Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems

DOI10.3842/SIGMA.2013.042zbMath1270.35009arXiv1209.6047MaRDI QIDQ352527

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6047

zbMATH Keywords

Chebyshev polynomials Jacobi polynomials Gegenbauer polynomials separation of variables eigenfunction expansions addition theorems

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Series solutions to PDEs (35C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Classical hypergeometric functions, ({}_2F_1) (33C05) Potential theory on Riemannian manifolds and other spaces (31C12)

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