On a certain subclass of analytic functions involving modified q-Opoola derivative operator

This paper introduces a new subclass in the open unit disc of analytic functions. It is mainly defined by the modified q-Opoola derivative operator. A coefficient inequality is obtained, and other properties like distortion and closure theorems are derived. Moreover, extreme points of the differential operator are also given. Additionally, Hadamard products (or convolution) of functions respective to the class are also included.

Keywords:

Univalent functions , Analytic function , Opoola Derivative operator , Hadamard product , q-calculus