On certain problem in the class of k-starlike functions

被引：14

作者：

Sokol, Janusz ^{[1
]}

Wisniowska-Wajnryb, Agnieszka ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 12期

关键词：

K-starlike functions; K-uniformly convex functions; Starlike functions; Convex functions; Functions with positive real part; UNIFORMLY CONVEX-FUNCTIONS; UNIVALENT-FUNCTIONS; SUBCLASSES;

D O I：

10.1016/j.camwa.2011.10.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the classes of k-uniformly convex and k-starlike functions defined in Kanas and Wisniowska (1999, 2000) [1,2] which generalize the class of uniformly convex functions introduced by Goodman (1991) [3]. We discuss the real part off (z)/z, when f is k-starlike. We find the minimum of Ref (z)/z improving the results obtained recently in Wisniowska-Wajnryb (2009) [11]. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4733 / 4741

页数：9

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