SOME RESULTS ON A SUBCLASS OF HARMONIC MAPPINGS OF ORDER ALPHA

Abstract

Let SH be the class of harmonic mappings defined by SH = { f = h z + g z | h z = z + ∑∞ n=2 anz n , g z = b1z + ∑∞ n=2 bnz n , b1 zh′ z − zg′ z h z + g z − 1 − b1 1 + b1 1 − b1 1 + b1 − α, z ∈ U, 0 6 α