Eigenfunction expansions for a fundamental solution of Laplace’s equation onR3in parabolic and elliptic cylinder coordinates

DOI10.1088/1751-8113/45/35/355204zbMath1250.35071arXiv1204.6064OpenAlexW2109193283MaRDI QIDQ2914399

Howard S. Cohl, Hans W. Volkmer

Publication date: 19 September 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6064

zbMATH Keywords

Bessel functionsLaplace's equationparabolic cylinder coordinateselliptic cylinder coordinates

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General harmonic expansions, frames (42C15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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