A Class of Complex-valued Harmonic Functions Defined by Dziok-Srivastava Operator

The Dziok-Srivastava [6] operator introduced in the study of analytic functions and associated with generalized hypergeometric functions has been extended to harmonic mappings [2, 12]. Using this operator we introduce a subclass of the class $\mathcal{H}$ of complex-valued harmonic univalent functions $f = h +\bar{g}$ where $h$ is the analytic part and $g$ is the co-analytic part of $f$ in $|z| < 1$. Coefficient bounds, extreme points, inclusion results and closure under an integral operator for this class are obtained.