Calculation of harmonic measures of the boundary components of the finitely connected domain
https://doi.org/10.29235/1561-2430-2019-55-2-195-198
Abstract
The article proposes a new method for calculating harmonic measures of the boundary components of the finitely connected domain.
About the Authors
O. B. Dolgopolova
Belarusian State University
Belarus
Belarus
Ol’ga B. Dolgopolova – Ph. D. (Physics and Mathematics), Assistant Professor, Assistant Professor of the Department of Function Theory
4, Nezavisimosti Ave., 220030, Minsk, Republic of Belarus
E. I. Zverovich
Belarusian State University
Belarus
Belarus
Edmund I. Zverovich – Dr. Sc. (Physics and Mathematics), Professor, Professor of the Department of Function Theory
4, Nezavisimosti Ave., 220030, Minsk, Republic of Belarus
References
1. Nevanlinna R. Eindeutigen Analytischen Funktionen. Moscow, Leningrad, Gostekhizdat Publ., 1941. 388 p. (in Russian).
2. Lavrentiev M. A., Shabat B. V. Methods of the Theory of Complex Variables Functions. Moscow, Nauka Publ., 1973. 736 p. (in Russian).
3. Muskhelishvili N. I. Syngular Integran Equations. Moscow, Nauka Publ., 1968. 513 p. (in Russian).
4. Dolgopolova O. B., Zverovich E. I. Construction in explicit form Schwarz operator for multiconnected domain. System of computer mathematic and applications. Smolensk, Smolensk State University, 2009, pp. 175–177 (in Russian).
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