Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Abstract

In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and | a3|.

Keywords

• analytic functions
• univalent functions
• bi-univalent functions
• bi-starlike and bi-convex functions
• Hohlov operator
• Gaussian hypergeometric function
• Dziok-Srivastava operator