On some properties of p-holomorphic and p-analytic function
https://doi.org/10.29235/1561-2430-2021-57-2-176-184
Abstract
In this article the relationship between the conditions of p-differentiability, p-holomorphycity, and the existence of the derivative of a function of a p-complex variable is considered. The general form of a p-holomorphic function is found. The sufficient conditions for p-analyticity and local invertibility are obtained. The open mapping theorem and the principle of maximum of the norm for a p-holomorphic function and the uniqueness theorem are proved.
About the Authors
I. L. Vassilyev
Belarusian State University
Belarus
Belarus
Igor L. Vassilyev – Ph. D. (Physics and Mathematics), Assistant Professor, Assistant Professor of the Department of Function Theory
4, Nezavisimosti Ave., 220030, Minsk, Republic of Belarus
V. V. Dovgodilin
Belarusian State University
Belarus
Belarus
Vladimir V. Dovgodilin – Postgraduate Student
4, Nezavisimosti Ave., 220030, Minsk, Republic of Belarus
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