Construction of solutions to PDEs using holomorphic functions of several variables

The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional  Laplace, Helmholtz, and Poisson equations in the form of components  of holomorphic functions of several variables (complex and hypercomplex).   For more information see ht...

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Bibliographic Details

Published in:	Electronic journal of differential equations Vol. 2024; no. 1-??; pp. 71 - 12
Main Author:	Shpakivskyi, Vitalii
Format:	Journal Article
Language:	English
Published:	Texas State University 11.11.2024
Subjects:	elliptic pde harmonic algebra holomorphic functions of several hypercomplex variables
ISSN:	1072-6691, 1072-6691
Online Access:	Get full text
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