Asymptotic estimates for the coefficients of bounded univalent functions

被引：0

作者：

Prokhorov, D. V. ^{[1
]}

Nikulin, A. A. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2006年 / 47卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

univalent function; bounded function; coefficient estimate; Lowner equation; asymptotic estimate;

D O I：

10.1007/s11202-006-0103-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the class of univalent bounded normalized holomorphic functions in the unit disk, we give an asymptotic estimate for the coefficients when the uniform norm of the modulus of the function tends to infinity.

引用

页码：924 / 933

页数：10

共 50 条

[1] Asymptotic estimates for the coefficients of bounded univalent functions
D. V. Prokhorov
A. A. Nikulin
[J]. Siberian Mathematical Journal, 2006, 47 : 924 - 933
[2] The sum of coefficients of bounded univalent functions
D. V. Prokhorov
[J]. Mathematical Notes, 1997, 61 : 609 - 613
[3] The sum of coefficients of bounded univalent functions
Prokhorov, DV
[J]. MATHEMATICAL NOTES, 1997, 61 (5-6) : 609 - 613
[4] INITIAL COEFFICIENTS OF BOUNDED HOLOMORPHIC UNIVALENT FUNCTIONS
ALEKSANDROV, IO
KRYUCHKO.BY
POPOV, VI
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1973, (01): : 3 - 5
[5] COEFFICIENT ESTIMATES FOR BOUNDED UNIVALENT-FUNCTIONS
CHEREDNICHENKO, VG
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1983, 24 (03) : 485 - 492
[6] FORMULAS FOR NEHARI COEFFICIENTS OF BOUNDED UNIVALENT FUNCTIONS
DETEMPLE, DW
OULTON, DB
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1977, 29 (03): : 587 - 605
[7] Estimates for logarithmic coefficients of locally univalent functions
Kayumov, IR
Starkov, VV
[J]. XVITH ROLF NEVANLINNA COLLOQUIUM, 1996, : 239 - 245
[8] Sharp Estimates of Newton Coefficients of Univalent Functions
Kiriyatzkii, E. G.
[J]. MATHEMATICAL NOTES, 2008, 84 (5-6) : 673 - 679
[9] Sharp estimates of Newton coefficients of univalent functions
E. G. Kiriyatzkii
[J]. Mathematical Notes, 2008, 84 : 673 - 679
[10] Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation
Goswami, Pranay
Bulut, Serap
Shekhawat, Neetu
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (05): : 1271 - 1279

← 1 2 3 4 5 →