Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 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
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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.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 350–358
DOI: https://doi.org/10.1007/s10958-020-04696-2
Bibliographic databases:
Document Type: Article
UDC: 517.55
MSC: Primary 35K25; Secondary 35K70, 35R35
Language: Russian
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. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 56–64; Journal of Mathematical Sciences, 245:3 (2020), 350–358
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. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 56--64
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into272}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829871}
\zmath{https://zbmath.org/?q=an:1450.30067}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 350--358
\crossref{https://doi.org/10.1007/s10958-020-04696-2}
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