Starlike functions and higher order differential subordinations

被引：8
|
作者：
Kumar, S. Sivaprasad [1 ]
Goel, Priyanka [1 ]
机构：
[1] Delhi Technol Univ, Delhi 110042, India
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 04期
关键词：
Starlike functions; Sigmoid function; Subordination; LEMNISCATE;
D O I：
10.1007/s13398-020-00925-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present investigation, a third order differential subordination result of Antonino and Miller (Complex Var Ellipt Equ 56(5):439-454, 2011) has been modified to accommodate Ma-Minda functions so that new avenues could be explored related to them. Further as an application, many alluring results pertaining to S-SG*={f is an element of A: zf '(z)/f(z) < 2/(1+e(-z))}, the class of Sigmoid starlike functions, involving higher order differential subordinations are also obtained.
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收藏
页数：23
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