Review on Fractional Q-calculus with Varying Arguments

Abstract

In this Chapter we introduce a new subclasses of functions which are analytic defined by using fractional q - calculus integral operators. We also introduce q-Bernadi integral operator for analytic function using the concept of q-calculus. We discuss coefficient estimates, growth, distortion theorems and many more properties for the function f belonging to the classes V(A, B, q, \(\delta\)) and K(A, B, q, \(\delta\)) .