Bohr Inequality for Odd Analytic Functions

被引：62

作者：

Kayumov, Ilgiz R. ^{[1
]}

Ponnusamy, Saminathan ^{[2
]}

机构：

[1] Kazan Fed Univ, Kremlevskaya 18, Kazan 420008, Russia

[2] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2017年 / 17卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Analytic functions; p-symmetric functions; Bohr's inequality; Schwarz lemma; Subordination and odd univalent functions; THEOREM;

D O I：

10.1007/s40315-017-0206-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the Bohr radius for the class of odd functions f satisfying vertical bar f (z)vertical bar <= 1 for all vertical bar z vertical bar < 1, solving the recent problem of Ali et al. ( J Math Anal Appl 449(1): 154-167, 2017). In fact, we solve this problem in a more general setting. Then we discuss Bohr's radius for the class of analytic functions g, when g is subordinate to a member of the class of odd univalent functions.

引用

页码：679 / 688

页数：10

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