Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex

被引：1
|
作者：
Ahammed, Sabir [1 ]
Ahamed, Molla Basir [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 01期
关键词：
Bounded analytic functions; Bohr inequality; Bohr-Rogosinski inequality; Schwarz-Pick lemma; SUBORDINATING FAMILIES; POWER-SERIES; THEOREM;
D O I：
10.4153/S0008439523000474
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we prove several refined versions of the classical Bohr inequality for the class of analytic self-mappings on the unit disk D, class of analytic functions f defined on D such that Re (f (z)) < 1, and class of subordination to a function g in D. Consequently, the main results of this article are established as certainly improved versions of several existing results. All the results are proved to be sharp.
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页码：9 / 25
页数：17
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