Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative

被引：40

作者：

El-Deeb, Sheza M. ^{[1
,3
]}

Bulboaca, Teodor ^{[2
]}

El-Matary, Bassant M. ^{[1
,3
]}

机构：

[1] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt

[2] Babe Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

[3] Al Qassim Univ, Coll Sci & Arts Badaya, Dept Math, Al Badaya, Al Qassim Provi, Saudi Arabia

来源：

MATHEMATICS | 2020年 / 8卷 / 03期

关键词：

bi-univalent functions; Hadamard (convolution) product; coefficients bounds; q-derivative operator; differential subordination; Primary; 05A30; 30C45; Secondary; 11B65; 47B38; SUBCLASS;

D O I：

10.3390/math8030418

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce a new subclass of the bi-univalent functions defined in the open unit disc and connected with a q-analogue derivative. We find estimates for the first two Taylor-Maclaurin coefficients mml:semantics mml:mfenced separators="" open="|" close="|"a2 mml:mfenced mml:semantics and mml:semantics mml:mfenced separators="" open="|" close="|" a3 mml:mfenced mml:semantics for functions in this subclass, and we obtain an estimation for the Fekete-Szeg problem for this function class.

引用

页数：14

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