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Mathematics
Other literature type . 2019
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Mathematics
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Mathematics
Article
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Mathematics
Article . 2019
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https://dx.doi.org/10.3390/mat...
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Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 08 Jan 2019 English Publisher:MDPI AGJournal:Mathematics, volume 7, page 60 (eissn: 2227-7390, Copyright policy )
Authors: Feng Qi; Shao-Wen Yao; Bai-Ni Guo;

doi: 10.3390/math7010060

Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind

Abstract

In the paper, by virtue of the residue theorem in the theory of complex functions, the authors establish several identities between arithmetic means for a class of functions and the modified Bessel functions of the first kind, present several identities between arithmetic means for a class of functions and infinite series, and find several series expressions for the modified Bessel functions of the first kind.

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Keywords

series expression, Toader–Qi mean, arithmetic mean for function, residue theorem, QA1-939, modified Bessel function of the first kind, identity, 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!
3
Average
Average
Average
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