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International Journal of Mathematics and Mathematical Sciences
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https://dx.doi.org/10.1155/201...
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On a Subclass of Harmonic Convex Functions of Complex Order

On a subclass of harmonic convex functions of complex order
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:Hindawi LimitedJournal:International Journal of Mathematics and Mathematical Sciences, volume 2,012, pages 1-13 (issn: 0161-1712, eissn: 1687-0425, Copyright policy )
Authors: Nanjundan Magesh; S. Mayilvaganan;

doi: 10.1155/2012/496731

On a Subclass of Harmonic Convex Functions of Complex Order

Abstract

We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator.

Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), harmonic convex functions, complex order, QA1-939, 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!
2
Average
Average
Average
gold