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

Published

Author(s)

Howard S. Cohl, Hans Volkmer

Abstract

We derive eigenfunction expansions for a fundamental solution of Laplace's equation in three-dimensional Euclidean space in 5-cyclidic coordinates. There are three such expansions in terms of internal and external 5-cyclidic harmonics of first, second and third kind. The internal and external 5-cyclidic harmonics are expressed by solutions of a Fuchsian differential equation with five regular singular points.
Citation
Analysis and Application
Volume
12

Citation

Cohl, H. and Volkmer, H. (2014), Expansions for a fundamental solution of Laplace's equation on R<sup>3</sup> in 5-cyclidic harmonics, Analysis and Application, [online], https://doi.org/10.1142/S0219530514500407 (Accessed April 23, 2024)
Created October 14, 2014, Updated June 2, 2021