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.

引用

页数：23

共 27 条

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