On Some Fundamental Subclasses of Analytic Bi-univalent Functions

Abstract

The aim of the current paper is to establish a general coecient estimations for fundamental subclasses of bi-univalent functions. These subclasses encompass bi-starlike, bi-convex, strongly bi-starlike, and strongly bi-convex functions. Some new estimates are sharp and other findings involve several enhancements and extensions of well-known results.

Keywords: Bi-univalent functions; Coefficient estimates; Bi-starlike functions; Bi-convex functions; Strongly bi-starlike functions; Strongly bi-convex functions.

2010 Mathematics Subject Classification. 30C50; 30C45; 30C55