Geodesic
Residues and Argument Principle for $A(z)$-Analytic Functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 56-64

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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, $A(z)$-lemniscate.
Mots-clés : Cauchy-type kernel 
@article{INTO_2018_144_a5,
     author = {Zh. K. Tishabaev and T. U. Otaboev and Sh. Ya. Khursanov},
     title = {Residues and {Argument} {Principle} for $A(z)${-Analytic} {Functions}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {56--64},
     publisher = {mathdoc},
     volume = {144},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_144_a5/}
}
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Zh. K. Tishabaev; T. U. Otaboev; Sh. Ya. Khursanov. Residues and Argument Principle for $A(z)$-Analytic Functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 56-64. http://geodesic.mathdoc.fr/item/INTO_2018_144_a5/