Department of Complex Analysis and Potential Theory
Institute of Mathematics of the National Academy of Sciences of Ukraine
3, Tereschenkivska st., Kyiv-4, 01024, Ukraine
email: shpakivskyi86@gmail.com
Vitalii Shpakivskyi
Abstract:
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).
Submitted September 12, 2024. Published November 11, 2024.
Math Subject Classifications: 32A10, 30G35, 35A25.
Key Words: holomorphic functions of several hypercomplex variables; harmonic algebra; elliptic PDE.
DOI: 10.58997/ejde.2024.71
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Vitalii Shpakivskyi Department of Complex Analysis and Potential Theory Institute of Mathematics of the National Academy of Sciences of Ukraine 3, Tereschenkivska st., Kyiv-4, 01024, Ukraine email: shpakivskyi86@gmail.com |
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