Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative

被引：6

作者：

Akin, Gulfem ^{[1
]}

Eker, Sevtap Sumer ^{[1
]}

机构：

[1] Dicle Univ, Dept Math, Fac Sci, TR-21280 Diyarbakir, Turkey

来源：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 12期

关键词：

GENERALIZED HYPERGEOMETRIC-FUNCTIONS; FABER POLYNOMIALS; SUBCLASSES; OPERATORS; CALCULUS; STARLIKE;

D O I：

10.1016/j.crma.2014.09.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and investigate a subclass of analytic and bi-univalent functions defined by a fractional derivative operator in the open unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this class. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1005 / 1010

页数：6

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