Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator

被引：60

作者：

Srivastava, Hari M. ^{[1
,2
,3
]}

Motamednezhad, Ahmad ^{[4
]}

Adegani, Ebrahim Analouei ^{[4
]}

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] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan

[4] Shahrood Univ Technol, Fac Math Sci, POB 36155-316, Shahrood 36155316, Iran

来源：

MATHEMATICS | 2020年 / 8卷 / 02期

关键词：

analytic functions; univalent functions; bi-univalent functions; coefficient estimates; Taylor-Maclaurin coefficients; Faber polynomial expansion; differential subordination; Tremblay fractional derivative operator; SUBCLASS; BOUNDS;

D O I：

10.3390/math8020172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce a general family of analytic and bi-univalent functions in the open unit disk, which is defined by applying the principle of differential subordination between analytic functions and the Tremblay fractional derivative operator. The upper bounds for the general coefficients of functions in this subclass are found by using the Faber polynomial expansion. We have thereby generalized and improved some of the previously published results.

引用

页数：12

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