A Subclass of Harmonic Univalent Functions with Varying Arguments Defined by Generalized Derivative Operator

Making use of the generalized derivative operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, neighborhood, and extreme points...

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Veröffentlicht in:Advances in Decision Sciences 2012, Vol.2012 (2012), p.1-8-023
Hauptverfasser: Eljamal, E. A., Darus, Maslina
Format: Artikel
Sprache:eng
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Zusammenfassung:Making use of the generalized derivative operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, neighborhood, and extreme points for this generalized class of functions.
ISSN:2090-3359
2090-3367
DOI:10.1155/2012/610406