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 December 13, 2024)
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Expansions for a fundamental solution of Laplace's equation on R3 in 5-cyclidic harmonics
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Author(s)
, 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
Pub Type
Journals
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Created October 14, 2014, Updated June 2, 2021