Radius problems for univalent functions

被引：0
|
作者：
Sokol, Janusz [2 ]
Trabka-Wieclaw, Katarzyna [1 ]
机构：
[1] Lublin Univ Technol, Mech Engn Fac, Ul Nadbystrzycka 36, PL-20618 Lublin, Poland
[2] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland
来源：
JOURNAL OF APPLIED ANALYSIS | 2020年 / 26卷 / 01期
关键词：
Convex functions; starlike functions; close-to-convex functions; radius problems; radius of convexity; radius of starlikeness; sufficient conditions for starlikeness; sufficient conditions for convexity; STARLIKENESS;
D O I：
10.1515/jaa-2020-2008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the following problem: for what value r, r < 1 a function that is univalent in the unit disk vertical bar z vertical bar < 1 and convex in the disk vertical bar z vertical bar < r becomes starlike in vertical bar z vertical bar < 1. The number r is called the radius of convexity sufficient for starlikeness in the class of univalent functions. Several related problems are also considered.
引用
收藏
页码：111 / 115
页数：5
相关论文
共 50 条
12345