A new comprehensive subclass of analytic bi-close-to-convex functions

Abstract

In a very recent work, Şeker and Sümer Eker [On subclasses of bi-close-to-convex functions related to theodd-starlike functions. Palestine Journal of Mathematics 2017; 6: 215-221] defined two subclasses of analytic bi-closeto-convex functions related to the odd-starlike functions in the open unit disk U. The main purpose of this paper isto generalize and improve the results of Şeker and Sümer Eker (in the aforementioned study) defining a comprehensivesubclass of bi-close-to-convex functions. Also, we investigate the Fekete-Szegö type coefficient bounds for functionsbelonging to this new class.