Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points

被引：0

作者：

Kudryavtseva, O. S. ^{[1
,2
,3
]}

Solodov, A. P. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

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

来源：

MATHEMATICAL NOTES | 2023年 / 113卷 / 5-6期

基金：

俄罗斯科学基金会;

关键词：

holomorphic mapping; fixed points; angular derivative; domains of coefficients; THEOREM; MAPS;

D O I：

10.1134/S0001434623050085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the class of holomorphic self-mappings of the unit disk with an internal and a boundary fixed point, we consider the problem of describing the domains of Taylor coefficients depending on the values of the angular derivative at the boundary fixed point. An optimal horocycle containing the domain of the second coefficient is found.

引用

页码：694 / 699

页数：6

共 50 条

[1] Estimate of the Second Coefficient of Holomorphic Mappings of a Disk into Itself with Two Fixed Points
O. S. Kudryavtseva
A. P. Solodov
[J]. Mathematical Notes, 2023, 113 : 694 - 699
[2] Holomorphic mappings of the unit disc into itself with two fixed points
Goryainov, V. V.
[J]. SBORNIK MATHEMATICS, 2017, 208 (03) : 360 - 376
[3] Two-Sided Estimate of Univalence Domains for Holomorphic Mappings of the Unit Disk into Itself Keeping Its Diameter
Kudryavtseva, O. S.
Solodov, A. P.
[J]. RUSSIAN MATHEMATICS, 2019, 63 (07) : 80 - 83
[4] Two-Sided Estimate of Univalence Domains for Holomorphic Mappings of the Unit Disk into Itself Keeping Its Diameter
O. S. Kudryavtseva
A. P. Solodov
[J]. Russian Mathematics, 2019, 63 : 80 - 83
[5] FIXED-POINTS OF HOLOMORPHIC MAPPINGS
VIGUE, JP
[J]. LECTURE NOTES IN MATHEMATICS, 1990, 1422 : 101 - 106
[6] ON THE FIXED-POINTS OF HOLOMORPHIC MAPPINGS
VIGUE, JP
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 303 (18): : 927 - 930
[7] Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points
Goryainov, V. V.
Kudryavtseva, O. S.
Solodov, A. P.
[J]. DOKLADY MATHEMATICS, 2023, 108 (01) : 326 - 330
[8] Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points
V. V. Goryainov
O. S. Kudryavtseva
A. P. Solodov
[J]. Doklady Mathematics, 2023, 108 : 326 - 330
[9] Strengthening of Landau’s Theorem for Holomorphic Self-Mappings of a Disk with Fixed Points
A. P. Solodov
[J]. Mathematical Notes, 2020, 108 : 626 - 628
[10] Strengthening of Landau's Theorem for Holomorphic Self-Mappings of a Disk with Fixed Points
Solodov, A. P.
[J]. MATHEMATICAL NOTES, 2020, 108 (3-4) : 626 - 628

← 1 2 3 4 5 →