Subclass of analytic functions defined by q-derivative operator associated with Pascal distribution series

Abstract

The purpose of the present paper is to find the necessary and sufficient condition and inclusion relation for Pascal distribution series to be in the subclass TCq(λ,α) of analytic functions defined by q-derivative operator. Further, we consider an integral operator related to Pascal distribution series, and several corollaries and consequences of the main results are also considered.

Keywords

• analytic functions
• hadamard product
• q-starlike functions
• q-convex functions
• pascal distribution series