Starlikeness and close-to-convexity involving certain differential inequalities

被引：0

作者：

Shergill, Kuldeep Kaur ^{[1
]}

Billing, Sukhwinder Singh ^{[1
]}

机构：

[1] Sri Guru Granth Sahib World Univ, Dept Math, Fatehgarh Sahib 140407, Punjab, India

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2024年 / 69卷 / 01期

关键词：

Meromorphic functions; meromorphic starlike function; meromorphic close-to-convex function; multivalent functions;

D O I：

10.24193/subbmath.2024.1.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study certain differential inequalities involving meromorphic functions in the open unit disk and obtain certain sufficient conditions for starlikeness and close -to -convexity of meromorphic functions. In particular, we obtain: 1. If f(z) E sigma p satisfies the differential inequality | 1 +zf ''(z)f '(z)+p divided by divided by divided by divided by<12, z is an element of E, | then f(z) is meromorphic close -to -convex function. 2. If f(z) E sigma satisfies the differential inequality |zf '(z)/f(z)+ 1 divided by(1-gamma )divided by 1 +zf ''(z)/f '(z)-zf '(z)f(z)divided by divided by divided by divided by gamma<1-alpha(1 +|1-2 alpha|)gamma, gamma >= 0, z is an element of E, then f(z) is meromorphic starlike function of order alpha.

引用

页码：67 / 73

页数：7