Certain theorems involving differential superordination and sandwich-type results

被引:0
|
作者
Kaur, Hardeep [1 ]
Brar, Richa [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 / 03期
关键词
Analytic function; differential superordination; phi-like function; star- like function; close-to-convex function;
D O I
10.24193/subbmath.2024.3.05
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
To obtain the main result of the present paper, we use the technique of differential superordination. As special cases of our main result, we obtain sufficient conditions for f is an element of A to be phi-like, parabolic phi-like, starlike, parabolic starlike, close-to-convex and uniform close-to-convex. We also obtain sandwich- type results regarding these functions. For demonstration of the results, we have plotted the images of open unit disk under certain functions using Mathematica 7.0.
引用
收藏
页码:535 / 552
页数:18
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