A new subclass of bi-univalent functions associated with q-Chebychev polynomial

In this article, using the concept of q-analogue, we define a new class of analytic functions associated with Chebyshev polynomial of second kind. Then with the help of symmetric q-Chebyshev polynomial, we introduce and estimating first two Maclaurin coefficients for new subclasses of analytic functions. Also as application of the results, we estimate the relevant connection to the famous classical Fekete- Szegö inequality belonging to the class \tilde{S}_{\Sigma}^{q}(\lambda,\gamma,s).

کلیدواژه ها:

Univalent functions ، subordination ، q-derivative ، q-Chebyshev polynomial and Fekete-Szegö inequality