ON VARIOUS REPRESENTATIONS OF A CLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH SUBORDINATION

被引：0

作者：

Sharma, Poonam ^{[1
]}

Raina, Ravinder Krishna ^{[2
]}

Sokol, Janusz ^{[3
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India

[2] MP Univ Agr & Technol, Udaipur, Rajasthan, India

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

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2019年 / 81卷 / 02期

关键词：

Starlike function; close-to-convex functions; subordination; Briot-Bouquet differential subordination;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of subordination, we introduce a new class M(n, mu, [phi]) of analytic functions defined in the open unit disk. We present various representations for this class and point out some of their main consequences. Also, a sufficient class condition for a function f to be in the class M(n, mu, [phi]) is studied by using the Briot-Bouquet differential subordination and its representation is considered by choosing an open door function. Some applications of this result (Theorem 3 below) are also considered.

引用

页码：87 / 96

页数：10