On subordination of some analytic functions

被引：11
|
作者：
Kargar, R. [1 ]
Ebadian, A. [2 ]
Sokol, J. [3 ]
机构：
[1] Islamic Azad Univ, Urmia Branch, Young Researchers & Elite Club, Orumiyeh, Iran
[2] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
[3] Rzeszow Univ Technol, Dept Math, Rzeszow, Poland
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 04期
关键词：
analytic function; subordination; bounded positive real part; Fekete-Szego problem;
D O I：
10.1134/S0037446616040042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define V (alpha, beta) (alpha < 1 and beta > 1), the new subclass of analytic functions with bounded positive real part, V (alpha, beta) := {f is an element of A : alpha < Rc { (z/f(z))(2) f'(z)} < beta}, , and study some properties of V (alpha, beta). We also study the class U (gamma) (gamma > 0): U (gamma) := {f is an element of A : vertical bar (z/f(z))(2) f'(z)-1 vertical bar < gamma} , where A is the class of normalized functions.
引用
收藏
页码：599 / 605
页数：7
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