Some Remarks for Subclasses of Bi-Univalent Functions Defined by Ruscheweyh Derivative Operator

Abstract

This paper gives two subclasses of analytic and bi-univalent functions associated with Ruscheweyh derivative operator to find estimates on the first two Tayler-Maclaurin coefficients  and  in the open disk . The present results would generalize and improve some corresponding recent works. In certain cases, our estimates correct some of those existing coefficient bounds.