Analog of Menchov-Trokhimchuk theorem for monogenic functions in three-dimensional commutative algebra
Classical Analysis and ODEs
2020-06-24 v1 Complex Variables
Abstract
The aim of this work is to weaken the conditions of monogenity for functions that take values in one concrete three-dimensional commutative algebras over the field of complex numbers. The monogenity of the function understood as a combination of its continuity with the existence of a Gato derivative.
Keywords
Cite
@article{arxiv.2006.12492,
title = {Analog of Menchov-Trokhimchuk theorem for monogenic functions in three-dimensional commutative algebra},
author = {M. V. Tkachuk and S. A. Plaksa},
journal= {arXiv preprint arXiv:2006.12492},
year = {2020}
}
Comments
11 pages, in Ukrainian