Expansions for a fundamental solution of Laplace's equation on ℝ3 in 5-cyclidic harmonics

DOI10.1142/S0219530514500407zbMath1304.35211arXiv1311.3514OpenAlexW2963511132MaRDI QIDQ2931002

Howard S. Cohl, Hans W. Volkmer

Publication date: 21 November 2014

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3514

zbMATH Keywords

Fuchsian differential equationeigenfunction expansionsasymmetric cyclidic coordinate system

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Green's functions for elliptic equations (35J08) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items

Expansion for a fundamental solution of Laplace's equation in flat-ring cyclide coordinates, Internal and external harmonics in bi-cyclide coordinates, Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation

Uses Software

• DLMF

Cites Work

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