Exact Regions of Mutual Variation of Coefficients of Holomorphic Self-Maps of a Disc with Fixed Points

被引：0

作者：

Kudryavtseva, O. S. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

[2] Volgograd State Tech Univ, Volgograd 400005, Russia

来源：

RUSSIAN MATHEMATICS | 2023年 / 67卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

holomorphic mapping; fixed points; angular derivative; coefficient regions;

D O I：

10.3103/S1066369X23050079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A method is proposed that allows obtaining the exact regions of mutual variation of Taylor coefficients of holomorphic self-maps of a disc with an interior fixed point and an arbitrary finite set of different boundary fixed points. Based on this method, exact inequalities for the first and second coefficients are obtained.

引用

页码：41 / 49

页数：9

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