Radius Problems for Some Subclasses of Analytic Functions

被引：32

作者：

Kargar, R. ^{[1
,2
]}

Ebadian, A. ^{[1
]}

Sokol, J. ^{[3
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

[2] Islamic Azad Univ, Urmia Branch, Young Researchers & Elite Club, Orumiyeh, Iran

[3] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 07期

关键词：

Analytic; Univalent; Starlike function; Subordination; Radius problems; STARLIKE FUNCTIONS;

D O I：

10.1007/s11785-016-0584-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we define the class M(alpha) of normalized analytic functions which satisfy the following two-sided inequality: 1 + alpha-pi/2 sin alpha < Re {zf'(z)/f(z)} < 1 + alpha/2 sin alpha vertical bar z vertical bar < 1, where pi/2 <= alpha < pi. We obtain a sufficient condition for functions to be in the class M(alpha) and solve several radius problems related to other well-known function classes.

引用

页码：1639 / 1649

页数：11

共 7 条

[1]

Dorff M., 2001, Complex Variables Theory Appl., V45, P263

[2]

Duren P. L., 1983, UNIVALENT FUNCTIONS, V259

[3] On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers [J].