Differential subordination for Janowski functions with positive real part

被引:0
|
作者
Anand, Swati [1 ]
Kumar, Sushil [2 ]
Ravichandran, V [3 ]
机构
[1] Univ Delhi, Rajdhani Coll, Delhi 110015, India
[2] Bharati Vidyapeeths Coll Engn, Delhi 110063, India
[3] Natl Inst Technol, Dept Math, Tiruchirappalli 620015, India
来源
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2021年 / 66卷 / 03期
关键词
Subordination; univalent functions; Caratheodory functions; starlike functions; Janowski function; admissible function;
D O I
10.24193/subbmath.2021.3.04
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition. We exploit the first order differential subordination theory to get several sufficient conditions for function satisfying several differential subordinations to be a Janowski function with positive real part. As applications, we obtain sufficient conditions for normalized analytic functions to be Janowski starlike functions.
引用
收藏
页码:457 / 470
页数:14
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