A new subclass of harmonic univalent functions

AINI JANTENG, SUZEINI ABDUL HALIM  and  MASLINA DARUS

Research Report No. 5/2004

Abstract

Complex-valued harmonic functions that are univalent and sense preserving in the open unit disk can be written in the form , where and are analytic in . In this paper we introduce the class for which means , and satisfies the condition for and a complex constant. We give some properties of functions belonging to this class which includes the growth results.