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Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation

In commutative associative third-rank algebras with principal identity over a complex field, we select bases such that hypercomplex monogenic functions constructed in these bases have components satisfying the three-dimensional Laplace equation. The notion of monogeneity for these functions is simil...

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Bibliographic Details
Date:	2003
Main Authors:	Mel'nichenko, I. P., Мельниченко, И. П.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4002
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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