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

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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Bibliographic Details
Main Authors: Antonella Lupica, Clemente Cesarano, Flavio Crisanti, Artur Ishkhanyan
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
Laplace equation
Heun equation
analytic solution
cap-cyclide geometry
standard toroidal geometry
hypergeometric functions
Online Access:https://www.mdpi.com/2227-7390/9/24/3316

Internet

https://www.mdpi.com/2227-7390/9/24/3316

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