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

被引：47
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
收藏
页码：493 / 503
页数：11
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