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：

暂无

中图分类号：

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.

引用

页码：149 / 157

页数：8

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