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Journal of Classical Analysis
Article . 2016 . Peer-reviewed
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Article . 2016
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Partial sums of normalized Dini functions

Authors: ORHAN, Halit; AKTAŞ, İBRAHİM;

Partial sums of normalized Dini functions

Abstract

Summary: Some lower bounds are proposed for the quotients of normalized Dini functions and their partial sum, as well as for the quotients of the derivative of normalized Dini functions and their partial sums. Our study is motivated by some earlier results one similar lower bounds for quotients of convex univalent functions and their partial sum.

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Turkey
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Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), convex functions, partial sum, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Bessel function, Dini functions, trigonometric function

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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!
6
Top 10%
Average
Average
gold