On criteria for starlikeness and convexity of analytic functions

被引：13

作者：

Singh, V ^{[1
]}

Tuneski, N ^{[1
]}

机构：

[1] Fac Mech Engn, Skopje 1000, Macedonia

来源：

ACTA MATHEMATICA SCIENTIA | 2004年 / 24卷 / 04期

关键词：

starlike; convex; criteria; Fekete-Szego;

D O I：

10.1016/S0252-9602(17)30242-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the authors study (1 - gamma + zf" (z) /f'(z) / f'(z) / zf'(z) / f(z)) as a criteria for starlikeness and convexity. Sharp upper bound of |a(2)| and of the Fekete-Szego functional |a(3)-mua(2)(2)| is given for a class of analytic functions defined by using this expression.

引用

页码：597 / 602

页数：6

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