RADIUS PROBLEMS IN A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS

被引：0

作者：

Kowalczyk, Joanna ^{[1
]}

Les, Edyta ^{[1
]}

Sokol, Janusz ^{[2
]}

机构：

[1] Univ Rzeszow, Dept Math, Inst Math, PL-35310 Rzeszow, Poland

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

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2014年 / 40卷 / 04期

关键词：

Convex functions; starlike functions; starlike of order alpha; convex of order alpha; strongly starlike functions; radius of starlikeness; radius of convexity;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K-s(gamma) denote the class of all analytic functions f in the unit disc u with the normalization f(0) = f'(0) - 1 = 0 and satisfying the condition R-e[x(2) f' (x)/(g(x)g(-x))] > gamma, x is an element of u for some g starlike of order 1/2. In this paper some basic geometric properties for the class K-s(gamma) are investigated. Among others things, the radius of convexity of f is an element of k(s) (gamma) and the sharp upper and lower bounds for vertical bar arg f'(z)vertical bar are determined.

引用

页码：1061 / 1072

页数：12

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