Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points

被引：4

作者：

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

Solodov, A. P. ^{[1
]}

机构：

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

[2] Volgograd State Tech Univ, Volgograd, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2022年 / 77卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

30C25; 30C55; 30C75; UNIVALENCE; ITSELF;

D O I：

10.1070/RM10042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：177 / 179

页数：3

共 13 条

[1] An extension of Schwarz's lemma [J].

Ahlfors, Lars V. .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1938, 43 (1-3) :359-364

[2] Angular Derivatives for Holomorphic Self-Maps of the Disk [J].

Becker, Jochen ;

Pommerenke, Christian .

COMPUTATIONAL METHODS AND FUNCTION THEORY, 2017, 17 (03) :487-497

[3]

BLOCH A., 1925, Ann. Fac. Sci. Univ. Toulouse Sci. Math. Sci. Phys., V17, P1

[4] ON BLOCH CONSTANT [J].

BONK, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (04) :889-894

[5] On Bloch's constant [J].

Chen, HH ;

Gauthier, PM .

JOURNAL D ANALYSE MATHEMATIQUE, 1996, 69 :275-291

[6] Holomorphic mappings of the unit disc into itself with two fixed points [J].

Goryainov, V. V. .

SBORNIK MATHEMATICS, 2017, 208 (03) :360-376

[7] Semigroups of analytic functions in analysis and applications [J].

Goryainov, V. V. .

RUSSIAN MATHEMATICAL SURVEYS, 2012, 67 (06) :975-1021

[8]

[Горяйнов Виктор Владимирович Goryainov Victor Vladimirovich], 2012, [Успехи математических наук, Russian Mathematical Surveys, Uspekhi matematicheskikh nauk], V67, P5, DOI 10.4213/rm9500

[9] Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points [J].

Kudryavtseva, O. S. ;

Solodov, A. P. .

SBORNIK MATHEMATICS, 2019, 210 (07) :1019-1042

[10]

Landau E., 1926, SITZUNGSBER PREUSS A, V32

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