In this paper, we mainly consider the convolutions of slanted half-plane mappings and strip unit disk D. If f1 is a mapping f2 or mapping, then prove that * convex in some direction if locally univalent We also obtain two sufficient conditions for to be Our results extend many recent direction. Moreover, class harmonic including mappings, as consequence, any combination such sense-preserving co...

A function is said to be bi-univalent on the open unit disk D if both the function and its inverse are univalent in D. Not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...