A certain Subclass of Meromorphically Multivalent Q-Starlike Functions Involving Higher-Order Q-Derivatives
DOI:
https://doi.org/10.24996/ijs.2022.63.1.26Keywords:
Multivalent functions, Meromorphically starlike functions, q-derivative(or q-difference) operator, Distortion theorems, Radius of q-starlikeness, close-to-convexity, convexity, Hadamard productAbstract
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.
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