A generalized operator involving the q-hypergeometric function

Abstract

Motivated by the familiar $q$-hypergeometricfunctions, we introduce here a new general operator. By thisoperator, we define a subclass of analytic function. The classgeneralizes well known classes of starlike and convex functions.The integral means inequalities of this class are investigated.Also, we consider $p$-$\gamma$-neighborhood for functions in thisclass. Our result contains some interesting corollaries as itsspecial cases.