Faber Polynomial Coefficient Estimates for Bi-univalent Functions Defined by the Tremblay Fractional Derivative Operator

被引：0
|
作者：
H. M. Srivastava
S. Sümer Eker
S. G. Hamidi
J. M. Jahangiri
机构：
[1] University of Victoria,Department of Mathematics and Statistics
[2] China Medical University,Department of Medical Research, China Medical University Hospital
[3] Dicle University,Department of Mathematics, Faculty of Science
[4] Brigham Young University,Department of Mathematics
[5] Kent State University,Department of Mathematical Sciences
来源：
Bulletin of the Iranian Mathematical Society | 2018年 / 44卷
关键词：
Tremblay fractional derivative operator; Faber polynomials; Analytic; Univalent; Bi-univalent functions; Primary 30C45; Secondary 30C50; 30C80;
D O I：
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学科分类号：
摘要：
Using the Tremblay fractional derivative operator in the complex domain, we introduce and investigate a new class of analytic and bi-univalent functions in the open unit disk. We use the Faber polynomial expansions to obtain upper bounds for the general coefficients of such functions subject to a gap series condition as well as obtaining bounds for their first two coefficients.
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页码：149 / 157
页数：8
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