ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS

Abstract

In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions. We derived sufficient coefficient conditions and shown to be also necessary for this subclass by putting certain restrictions on the coefficients, distortion theorem, extreme points and other interesting results are also investigated. KeyWords: Multivalent functions, Meromorphic functions, Harmonic functions, Distortion theorem, Starlike functions, Hypergemetric functions.