Sufficient conditions for univalence obtained by using second order linear strong differential subordinations

被引：2

作者：

Oros, Georgia Irina ^{[1
]}

机构：

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

来源：

TURKISH JOURNAL OF MATHEMATICS | 2010年 / 34卷 / 01期

关键词：

Analytic function; differential subordination; strong differential subordination; linear strong differential subordinations; second order linear strong differential subordinations;

D O I：

10.3906/mat-0810-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of differential subordination was introduced in [3] by S.S. Miller and P.T. Mocanu and the concept of strong differential subordination was introduced in [1], [2] by J.A. Antonin and S. Romaguera. In [5] we have studied the strong differential subordinations in the general case and in [6] we have studied the first order linear strong differential subordinations. In this paper we study the second order linear strong differential subordinations. Our results may be applied to deduce sufficient conditions for univalence in the unit disc, such as starlikeness, convexity, alpha-convexity, close-to-convexity respectively.

引用

页码：13 / 20

页数：8