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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 144, Pages 56–64 (Mi into272)  

Residues and Argument Principle for $A(z)$-Analytic Functions

Zh. K. Tishabaev, T. U. Otaboev, Sh. Ya. Khursanov

National University of Uzbekistan named after M. Ulugbek, Tashkent

Abstract: In this paper, we obtain formulas for residues and prove analogs of the argument principle and Rouche theorems for $A(z)$-analytic functions.

Keywords: $A(z)$-analytic function, Cauchy-type kernel, $A(z)$-lemniscate

Full text: PDF file (192 kB)
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Bibliographic databases:
UDC: 517.55
MSC: Primary 35K25; Secondary 35K70, 35R35

Citation: Zh. K. Tishabaev, T. U. Otaboev, Sh. Ya. Khursanov, “Residues and Argument Principle for $A(z)$-Analytic Functions”, Proceedings of the International Conference Problems of Modern Topology and its Applications, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 56–64

Citation in format AMSBIB
\Bibitem{TisOtaKhu18}
\by Zh.~K.~Tishabaev, T.~U.~Otaboev, Sh.~Ya.~Khursanov
\paper Residues and Argument Principle for $A(z)$-Analytic Functions
\inbook Proceedings of the International Conference Problems of Modern Topology and its Applications
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 56--64
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into272}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3829871}


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