Applications of <i>q</i>‐Derivative Operator to the Subclass of Bi‐Univalent Functions Involving <i>q</i>‐Chebyshev Polynomials

Abstract

In recent years, the usage of the q ‐derivative and symmetric q ‐derivative operators is significant. In this study, firstly, many known concepts of the q ‐derivative operator are highlighted and given. We then use the symmetric q ‐derivative operator and certain q ‐Chebyshev polynomials to define a new subclass of analytic and bi‐univalent functions. For this newly defined functions’ classes, a number of coefficient bounds, along with the Fekete–Szegö inequalities, are also given. To validate our results, we give some known consequences in form of remarks.

Topics & Concepts