Analysis of Coefficient-Related Problems for Starlike Functions with Symmetric Points Connected with a Three-Leaf-Shaped Domain

Author:

Tang Huo1,Arif Muhammad2ORCID,Abbas Muhammad2,Tawfiq Ferdous M. O.3ORCID,Malik Sarfraz Nawaz4ORCID

Affiliation:

1. School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China

2. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

3. Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

4. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

Abstract

The basic aspect of the research on coefficient problems for numerous families of univalent functions is to describe the coefficients of functions in a specific family by the coefficients of the Carathéodory functions. Thus, in utilizing the inequalities that are known for the class of Carathéodory functions, coefficient functionals may be examined. Several coefficient problems will be addressed in this study by utilizing the methodology for the abovementioned functions’ family. The family of starlike functions with respect to symmetric points connected to a three-leaf-shaped image domain is the topic of our investigation.

Funder

Natural Science Foundation of China

Natural Science Foundation of Inner Mongolia of China

Universities of Inner Mongolia Autonomous Region

Key Laboratory Construction of Chifeng University

Chifeng University

Publisher

MDPI AG

Subject

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

Reference71 articles.

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