h-Holomorphic Functions of Double Variable and their Applications

Dmitry Pavlov; Sergey Kokarev

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arXiv · 1501.03048

h-Holomorphic Functions of Double Variable and their Applications

Dmitry Pavlov·Sergey Kokarev

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Abstract

The paper studies the complex differentiable functions of double argument and their properties, which are similar to the properties of the holomorphic functions of complex variable: the Cauchy formula, the hyperbolic harmonicity, the properties of general $h$-conformal mappings and the properties of the mappings, which are hyperbolic analogues of complex elementary functions. We discuss the utility of $h$-conformal mappings to solving 2-dimensional hyperbolic problems of Mathematical Physics.

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Dmitry Pavlov, Sergey Kokarev. 2015-01-03. h-Holomorphic Functions of Double Variable and their Applications. https://arxiv.org/abs/1501.03048

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