Bohr's phenomenon for certain classes of analytic functions

被引：0

作者：

Arora, Vibhuti ^{[1
]}

Vinayak, M. ^{[1
]}

机构：

[1] Natl Inst Technol Calicut, Dept Math, Calicut, India

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2025年

关键词：

Analytic function; bohr phenomena; concave function; convex function; subordination; univalent function; POWER-SERIES; THEOREM; FAMILIES; RADIUS;

D O I：

10.1080/17476933.2024.2439960

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to explore some sharp Bohr-type inequalities for various classes of analytic functions. We begin by examining the Bohr phenomenon in terms of convex combinations and we extend our study to various other Bohr-type inequalities for the class of analytic univalent functions. Furthermore, we investigate similar inequalities for the Ma-Minda class of convex as well as starlike functions. Also, we estimate the same for the class of concave univalent functions.

引用

页数：23

共 36 条

[1] Bohr's phenomenon in subordination and bounded harmonic classes [J].

Abu Muhanna, Yusuf .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (11) :1071-1078

[2] Multidimensional analogues of Bohr's theorem on power series [J].

Aizenberg, L .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (04) :1147-1155

[3]

Ali R.M., 2016, Springer Optim. Appl, V117, P265

[4] Bohr-Rogosinski type inequalities for concave univalent functions [J].

Allu, Vasudevarao ;

Arora, Vibhuti .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 520 (01)

[5] Bohr radius for certain classes of starlike and convex univalent functions [J].

Allu, Vasudevarao ;

Halder, Himadri .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 493 (01)

[6] Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces [J].

Arora, Vibhuti .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (03) :492-503

[7]

Avkhadiev FG., 2005, LOBACHEVSKII J MATH, V17, P3

[8] The Bohr radius of the n-dimensional polydisk is equivalent to √(log n)/n [J].

Bayart, Frederic ;

Pellegrino, Daniel ;

Seoane-Sepulveda, Juan B. .

ADVANCES IN MATHEMATICS, 2014, 264 :726-746

[9] Bohr phenomenon for subordinating families of certain univalent functions [J].

Bhowmik, Bappaditya ;

Das, Nilanjan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (02) :1087-1098

[10] On concave univalent functions [J].

Bhowmik, Bappaditya .

MATHEMATISCHE NACHRICHTEN, 2012, 285 (5-6) :606-612

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