A certain Subclass of Meromorphically Multivalent Q-Starlike Functions Involving Higher-Order Q-Derivatives

Mustafa I.  Hameed; Muna H.  Ali; Buthyna  Najad   Shihab

doi:10.24996/ijs.2022.63.1.26

Authors

Mustafa I. Hameed Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq
Muna H. Ali Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq
Buthyna Najad Shihab University of Baghdad, College of Education for Pure Sciences, Ibn Al-Haitham, Department of Mathematics, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.1.26

Keywords:

Multivalent functions, Meromorphically starlike functions, q-derivative(or q-difference) operator, Distortion theorems, Radius of q-starlikeness, close-to-convexity, convexity, Hadamard product

Abstract

The authors introduced and addressed several new subclasses of the family of meromorphically multivalent -star-like functions in the punctured unit disk in this study, which makes use of several higher order -derivatives. Many fascinating properties and characteristics are extracted systematically for each of these newly identified function classes. Distortion theorems and radius problems are among these characteristics and functions. A number of coefficient inequalities for functions belonging to the subclasses are studied, and discussed, as well as a suitable condition for them is set. The numerous results are presented in this study and the previous works on this subject are also connected together in this study.