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.
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页码：679 / 688
页数：10
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