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International Journal of Mathematics and Mathematical Sciences
Article . 2012 . Peer-reviewed
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A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator

A new subclass of harmonic univalent functions associated with Dziok-Srivastava operator
Authors: Anokhe Lal Pathak; Kaushal Kishore Dixit; R. Agarwal;

A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator

Abstract

The purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed under convolution and convex combination. The results obtained for the class reduced to the corresponding results for several known classes in the literature are briefly indicated.

Keywords

functions with negative coefficient, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), QA1-939, harmonic mappings, Dziok-Srivastava operator, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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