Coefficient estimates for a class of bi-univalent functions involving Mittag-Leffler type Borel distribution

Abstract

In recent years, many new subclasses of analytic and bi-univalent functions have been studied and examined from different viewpoints and prospectives. In this article, we introduce new subclass of analytic and bi-univalent functions based on Mittag-Leffler type Borel distribution associated with the Gegenbauer polynomials. Furthermore we obtain estimates for |a 2 | , |a 3 |, and |a 4 | coefficients and Fekete-Szeg ö inequality for this functions class. Providing specific values to parameters involved in our main results, we get some new results.