Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains-Reference-Cited by-同舟云学术

Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

Published:2023-10-31 Issue:11 Volume:15 Page:2004
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Khan Muhammad Ghaffar¹^ORCID,Khan Bilal²^ORCID,Gong Jianhua³^ORCID,Tchier Fairouz⁴^ORCID,Tawfiq Ferdous M. O.⁴^ORCID

Affiliation:

1. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, Pakistan

2. School of Mathematical Sciences, East China Normal University, Shanghai 200241, China

3. Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates

4. Mathematics Department, College of Science, King Saud University, Riyadh 22452, Saudi Arabia

Abstract

This paper presents a geometric approach to the problems in differential subordination theory. The necessary conditions for a function to be in various subfamilies of the class of starlike functions and the class of Carathéodory functions are studied, respectively. Further, several consequences of the findings are derived.

Funder

United Arab Emirates University

King Saud University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/11/2004/pdf

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