h-Holomorphic Functions of Double Variable and their Applications
General Mathematics
2015-01-14 v1 Mathematical Physics
math.MP
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 -conformal mappings and the properties of the mappings, which are hyperbolic analogues of complex elementary functions. We discuss the utility of -conformal mappings to solving 2-dimensional hyperbolic problems of Mathematical Physics.
Cite
@article{arxiv.1501.03048,
title = {h-Holomorphic Functions of Double Variable and their Applications},
author = {Dmitry Pavlov and Sergey Kokarev},
journal= {arXiv preprint arXiv:1501.03048},
year = {2015}
}
Comments
22 pages, 19 pages