关于全纯系数Hartogs级数的延拓

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2019-03-25 DOI:10.56017/2181-1318.1021

Takhir Tuychiev, Jurabay Tishabaev

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引用次数: 0

摘要

本文考虑具有“薄”奇点的Hartogs级数的和沿固定方向全纯延拓的问题，只假设该级数的系数全纯，并研究了该级数的收敛区域。本工作的结果发展了a . sadullaev和E.M.Chirka关于极奇异函数延拓的著名结论。

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On the continuation of the Hartogs series with holomorphic coefficients

In this paper we consider the question of continuation of the sums of the Hartogs series that admit holomorphic continuation along a fixed direction with “thin” singularities, assuming only the holomorphic of the coefficients of the series and investigate the convergence region of such series. The results of the work develop a well-known result of A.Sadullaev and E.M.Chirka on the continuation of functions with polar singularities.

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Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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