Applications of <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>q</mi> </math>-Derivative Operator to the Subclass of Bi-Univalent Functions Involving <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>q</mi> </math>-Chebyshev Polynomials

In recent years, the usage of q -derivative and symmetric id="M4"> operators is significant. this study, firstly, many known concepts id="M5"> operator are highlighted given. We then use id="M6"> certain id="M7"> -Chebyshev polynomials to define a new subclass analytic bi-univalent functions. For newly defined functions’ classes, number coefficient bounds, along with Fekete–Szegö inequalities, also To validate our results, we give some consequences in form remarks.