Bohr phenomenon for analytic functions subordinate to starlike or convex functions

Hamada Hidetaka

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Bohr phenomenon for analytic functions subordinate to starlike or convex functions

机译：BOHR现象用于分析功能从属于星形或凸函数

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In this paper, we will obtain a new result on the Bohr phenomenon for analytic functions f which are subordinate to starlike functions g is an element of S*(phi), where phi satisfies Ma-Minda conditions and the coefficients of phi are non-negative. Next, we will obtain a new result on the Bohr phenomenon for analytic functions f which are subordinate to convex functions g is an element of C(phi), where fsatisfies Ma-Minda conditions. In this result, we obtain that the Bohr radius (r) over tilde (phi) satisfies (r) over tilde (phi) >= 1/3 by using a new idea. Finally, we will give the Bohr phenomenon for starlike functions with respect to a boundary point. (C) 2021 Elsevier Inc. All rights reserved.

机译：本文给出了解析函数f的玻尔现象的一个新结果，它服从于星型函数g，是S*（phi）的一个元素，其中phi满足Ma-Minda条件，phi的系数是非负的。接下来，我们将得到一个关于解析函数f的玻尔现象的新结果，它从属于凸函数g是C（φ）的一个元素，其中f满足Ma-Minda条件。在这个结果中，我们利用一个新的想法得到了玻尔半径（r）在tilde（φ）上满足（r）在tilde（φ）>=1/3。最后，我们将给出关于边界点的星形函数的玻尔现象。（c）2021爱思唯尔公司保留所有权利。

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来源
《Journal of Mathematical Analysis and Applications》 |2021年第1期|共15页
作者
Hamada Hidetaka;
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作者单位

Kyushu Sangyo Univ Fac Sci &

Engn Higashi Ku 3-1 Matsukadai 2 Chome Fukuoka 8138503 Japan;

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原文格式 PDF
正文语种 eng
中图分类数学分析;应用数学;
关键词
Bohr phenomenon; Bohr radius; Convex function; Starlike function; Starlike function with respect to a boundary point; Subordination;

机译：Bohr现象;Bohr半径;凸起函数;星状函数;星状函数相对于边界点;从属;

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2. Properties of Certain Nonlinear Integral Operator Associated with Janowski Starlike and Convex Functions [J] . Liangpeng, XIONG12 数学研究及应用：英文版 . 2016,第004期
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4. Bohr's phenomenon for analytic functions into the exterior of a compact convex body [J] . Abu Muhanna Y., Ali R.M. Journal of Mathematical Analysis and Applications . 2011,第2期

机译：玻尔现象对紧凑凸体外部的分析功能
5. Subclasses of starlike functions subordinate to convex functions [J] . E. M. Silvia, H. Silverman Canadian Journal of Mathematics . 1985,第1985期

机译：隶属于凸函数的星形函数的子类
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8. Extreme and non-extreme points of compact and convex integral family of analytic functions. [D] . Dow, Keiko. 2010

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9. Coefficient Bounds for Some Families of Starlike and Convex Functions of Reciprocal Order [O] . Muhammad Arif, Maslina Darus, Mohsan Raza, -1

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11. Two Subclasses of Starlike and Convex Functions [R] . Ahmad, F. 1987

机译：星形和凸函数的两个子类

Bohr phenomenon for analytic functions subordinate to starlike or convex functions

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