Internal and external harmonics in bi-cyclide coordinates

نویسندگان

چکیده

Abstract The Laplace equation in three-dimensional Euclidean space is -separable bi-cyclide coordinates leading to harmonic functions expressed terms of Lamé–Wangerin called internal and external harmonics. An expansion for a fundamental solution Laplace’s products harmonics derived. In limiting cases this reduces known expansions bi-spherical prolate spheroidal coordinates.

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ژورنال

عنوان ژورنال: Journal of Physics A

سال: 2023

ISSN: ['1751-8113', '1751-8121']

DOI: https://doi.org/10.1088/1751-8121/ace301