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International Journal of Mathematics and Mathematical Sciences
Article . 2014 . Peer-reviewed
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Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

Strong differential subordinations obtained with new integral operator defined by polylogarithm function
Authors: AL-Shaqsi, K.(Department of Information Technology, Nizwa College of Technology, Ministry of Manpower);

Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

Abstract

By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.

Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), univalent functions in the unit disk, QA1-939, subordination, sandwich-type results, 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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