Analytical Solution of the Three-Dimensional Laplace Equation in Terms of Linear Combinations of Hypergeometric Functions

We present some solutions of the three-dimensional Laplace equation in terms of linear combinations of generalized hyperogeometric functions in prolate elliptic geometry, which simulates the current tokamak shapes. Such solutions are valid for particular parameter values. The derived solutions are c...

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主要な著者:	Antonella Lupica, Clemente Cesarano, Flavio Crisanti, Artur Ishkhanyan
フォーマット:	Artigo
言語:	Inglês
出版事項:	MDPI AG 2021-12-01
シリーズ:	Mathematics
主題:	Laplace equation Heun equation analytic solution cap-cyclide geometry standard toroidal geometry hypergeometric functions
オンライン･アクセス:	https://www.mdpi.com/2227-7390/9/24/3316
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