Abstract

A family of harmonic starlike functions of complex order in the unit disc has been introduced and investigated by S.A. Halim and A. Janteng [Harmonic functions starlike of complex order, Proc. Int. Symp. on New Development of Geometric function Theory and its Applications, (2008), 132--140]. In this paper we consider a subclass consisting of harmonic parabolic starlike functions of complex order involving special functions and obtain coefficient conditions, extreme points and a growth result.

Keywords: Harmonic functions; harmonic starlike functions; hypergeometric functions; Dziok-Srivastava operator.

MSC: 30C45, 30C50

Pages:  316$-$325     

Volume  64 ,  Issue  4 ,  2012