finsler geometry, hypercomplex numbers and physics
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Generalized-analytical functions of poly-number variable
2004jat | Garas`ko G. I.

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 H4 and an interesting class of corresponding functions.


English: Russian:
01-07-e.pdf, 253,152 Kb, PDF 01-07.pdf, 535,308 Kb, PDF
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