Differential subordinations obtained by using a generalization of Marx-Strohhacker theorem

被引：0

作者：

Oros, Georgia Irina ^{[1
]}

Oros, Gheorghe ^{[1
]}

Lupas, Alina Alb ^{[1
]}

Ionescu, Vlad

机构：

[1] Univ Oradea, Dept Math, Str Univ 1, Oradea 410087, Romania

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2016年 / 20卷 / 01期

关键词：

Analytic function; univalent function; integral operator; close-to-convex function;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In [1] and [6] Marx and Strohhacker have proved that if f is an element of A is a convex function, then it has the property of starlikeness of order 1/2. In [5, Theorem 9.5.6], P. T. Mocanu extended this result to the class A(2) for a convex function of order -1/2. In this paper we extend the results proven by Marx and Strohhacker and by P. T. Mocanu and we'll prove that, if the function f is an element of A(n), n >= 3, is a close-to-convex function, then it is starlike of order 1/2.

引用

页码：135 / 139

页数：5