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International Journal of Mathematics and Mathematical Sciences
Article . 2011 . Peer-reviewed
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The Generalized Janowski Starlike and Close‐to‐Starlike Log‐Harmonic Mappings

The generalized Janowski starlike and close-to-starlike log-harmonic mappings
Authors: Maisarah Haji Mohd; Maslina Darus;

The Generalized Janowski Starlike and Close‐to‐Starlike Log‐Harmonic Mappings

Abstract

Motivated by the success of the Janowski starlike function, we consider here closely related functions for log‐harmonic mappings of the form defined on the open unit disc U. The functions are in the class of the generalized Janowski starlike log‐harmonic mapping, , with the functional zh(z) in the class of the generalized Janowski starlike functions, S*(A, B, α). By means of these functions, we obtained results on the generalized Janowski close‐to‐starlike log‐harmonic mappings, CSTlh(A, B, α).

Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), 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!
0
Average
Average
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