A certain class of starlike functions

被引:29
|
作者
Sokol, Janusz [1 ]
机构
[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
关键词
Univalent functions; Starlike functions; Convex functions; Subordination; Order of starlikeness; CONVEX-FUNCTIONS;
D O I
10.1016/j.camwa.2011.05.041
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents a new class of functions analytic in the open unit disc, and closely related to the class of starlike functions. Besides being an introduction to this field, it provides an interesting connections defined class with well known classes. The paper deals with several ideas and techniques used in geometric function theory. The order of starlikeness in the class of convex functions of negative order is also considered here. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:611 / 619
页数:9
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