New Subclasses of Analytic and Bi-Univalent Functions Involving a New Integral Operator Defined by Polylogarithm Function

Abstract

In the present investigation, we introduce two new subclasses of the function class sigma of bi-univalent functions in the open unit disc. Also, we find coefficient estimates on the coefficients a2 and a3 for functions in the function class, and several related classes are also considered, and connections to earlier known results are made.