Generalized-Analytical Functions of Poly-Number Variable

Details Generalized-Analytical Functions of Poly-Number Variable Generalized-Analytical Functions of Poly-Number Variable

2004-11-29

arxiv.org/abs/math-ph/0411082v1

Physics

Mathematical Physics

16 pages, no figures

Scientific paper

We introduce the notion of the generalized-analytical function of the poly-number variable, which is a non-trivial generalization of the notion of analytical function of the complex variable and, therefore, may turn out to be fundamental in theoretical physical constructions. As an example we consider in detail the associative-commutative hypercomplex numbers $H_4$ and an interesting class of corresponding functions.

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