Zh. K. Tishabaev, T. U. Otaboev, Sh. Ya. Khursanov, “Residues and Argument Principle for <nobr>$A(z)$</nobr>-Analytic Functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 144,Pages <nobr>56

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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.

UDC: 517.55

MSC: Primary 35K25; Secondary 35K70, 35R35