Some extremal bounds for subclasses of univalent functions

被引：9

作者：

Wisniowska-Wajnryb, Agnieszka ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 07期

关键词：

Starlike functions; Convex functions; k-Uniformly convex functions; Conic domain;

D O I：

10.1016/j.amc.2009.09.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain the sharp lower bound for Re root f '(z), z is an element of U, for functions f that are k-uniformly convex in the unit disk U. Next we consider the problem of finding the minimum of Ref'(z) for functions f that are k-uniformly convex in the disk of radius r. Corresponding results for the class of starlike functions related to the class of k-uniformly convex functions are presented. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2634 / 2641

页数：8

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