Initial Maclaurin Coefficient Bounds for New Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions Defined by a Linear Combination

被引：48

作者：

Srivastava, Hari M. ^{[1
,2
]}

Wanas, Abbas Kareem ^{[3
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Univ Al Qadisiyah, Coll Sci, Dept Math, Al Diwaniyah, Iraq

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2019年 / 59卷 / 03期

关键词：

analytic functions; univalent functions; m-Fold symmetric bi-univalent functions; coefficient bounds;

D O I：

10.5666/KMJ.2019.59.3.493

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present investigation, we define two new subclasses of analytic and m-fold symmetric bi-univalent functions defined by a linear combination in the open unit disk U. Furthermore, for functions in each of the subclasses introduced here, we establish upper bounds for the initial coefficients vertical bar a(m+1)vertical bar and vertical bar a(2m+1)vertical bar. Also, we indicate certain special cases for our results.

引用

页码：493 / 503

页数：11

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