New subclasses of bi-univalent functions related with Hurwitz–Lerch Zeta function of complex order

Abstract

_{In this article, the authors use the Hurwitz–Lerch zeta function associated with the subclasses of bi-univalent functions. Three new subclasses of bi-univalent functions are introduced. For these new classes, the authors obtain first two initial coefficient bounds. Furthermore, the famous Fekete-Szegö inequality is also drive for this new subclass of functions. Some findings improved results already available in the literature.}