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

CJM Vol. 1 No. 2 (December 2009), pp. 31 – 42.


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.

2000 Mathematics Subject Classification: 

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