Some Investigations on a Class of Analytic and Univalent Functions Involving q-Differentiation

Abstract

We use the concept of q-differentiation to define a class E_q(β, δ) of analytic and univalent functions. The investigations thereafter includes coefficient estimates, inclusion property and some conditions for membership of some analytic functions to be in the class E_q(β, δ). Our results generalize some known and new ones.