Abstract
In the present investigation, by using certain higher-order q-derivatives, the authors introduce and investigate several new subclasses of the family of multivalent q-starlike functions in the open unit disk. For each of these newly-defined function classes, several interesting properties and characteristics are systematically derived. These properties and characteristics include (for example) distortion theorems and radius problems. A number of coefficient inequalities and a sufficient condition for functions belonging to the subclasses studied here are also discussed. Relevant connections of the various results presented in this investigation with those in earlier works on this subject are also pointed out.
Highlights
A Study of Some Families of Multivalent q-StarlikeBilal Khan 1, * , Zhi-Guo Liu 1 , Hari M
In the present investigation, by using certain higher-order q-derivatives, the authors introduce and investigate several new subclasses of the family of multivalent q-starlike functions in the open unit disk
Our present investigation is motivated by the well-established potential for the usages of the basic calculus and the fractional basic calculus in Geometric Function Theory as described in a recently-published survey-cum-expository review article by Srivastava [9]
Summary
Bilal Khan 1, * , Zhi-Guo Liu 1 , Hari M.
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