The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains

被引：39

作者：

Orhan, Halit ^{[1
]}

Deniza, Erhan ^{[1
]}

Raducanu, Dorina ^{[2
]}

机构：

[1] Ataturk Univ, Dept Math, Fac Sci, TR-25240 Erzurum, Turkey

[2] Transilvania Univ Brasov, Dept Math, Fac Math & Comp Sci, Iuliu Maniu 50091 50, Brasov, Romania

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 01期

关键词：

Fekete-Szego problem; beta-uniformly convex functions; Conic domain; Hadamard product; Linear multiplier fractional differential operator; UNIFORMLY CONVEX; STARLIKE; UNIVALENT;

D O I：

10.1016/j.camwa.2009.07.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a linear multiplier fractional differential operator a new subclass of analytic functions generalized beta-uniformly convex functions, denoted by beta-SP lambda,mu n,alpha(gamma), is introduced. For this class the Fekete-Szego problem is completely solved. Various known or new special cases of our results are also pointed out. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：283 / 295

页数：13

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