Harmonic starlike functions of complex order involving hypergeometric functions

Authors

  • G. Murugusundaramoorthy School of Advanced Sciences, V I T University, Vellore - 632014, T.N., India Author

Keywords:

Harmonic functions, harmonic starlike functions, hypergeometric functions, Dziok-Srivastava operator

Subjects:

30C45, 30C50

Abstract

A family of harmonic starlike functionsof complex order in the unit disc has been introduced andinvestigated by S.A. Halim and A. Janteng [Harmonic functions starlike of complex order, Proc. Int.Symp. on New Development of Geometric function Theory and itsApplications, (2008), 132–140]. In this paper we consider asubclass consisting of harmonic parabolicstarlike functions of complex order involving special functions and obtain coefficientconditions, extreme points and a growth result.

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Published

2012-10-15