h-holomorphic functions of double variable and their applications
2010jfw | Pavlov D.G., Kokarev S.S.  // Research Institute of Hypercomplex Systems in Geometry and Physics, Friazino, Russia, geom2004@mail.ru, logos-center@mail.ru

We consider complex-differentiable functions of double variable and their essential properties analogical to the properties of functions of standard complex variable: Cauchy theorem and Cauchy formula, hyperbolic harmonicity, general properties of h-conformal transformations and such transformations, yielded by elementary functions. The question on applications of h-conformal transformations for solving of 2-dimensional problems of mathematical physics is discussed.

English:		Russian: