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Proceedings of the Japan Academy. Series A
Article . 2004 . Peer-reviewed
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Proceedings of the Japan Academy. Series A
Article
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Project Euclid
Other literature type . 2004
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zbMATH Open
Article . 2004
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https://dx.doi.org/10.3792/pja...
Other literature type
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Derivatives of multiple sine functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 May 2004 Japan Publisher:Project EuclidJournal:Proceedings of the Japan Academy, Series A, Mathematical Sciences, volume 80 (issn: 0386-2194, Copyright policy )
Authors: nobushige kurokawa;

doi: 10.3792/pjaa.80.65

Derivatives of multiple sine functions

Abstract

The author computes the derivatives of multiple sine functions in order to investigate the coefficients appearing in the resulting addition type formula. He also presents explicit expressions and obtain an interesting modular form.

Country
Japan
Related Organizations
Keywords

11M06, Multiple sine function, multiple gamma function, \(\zeta (s)\) and \(L(s, \chi)\), Stirling modular form, zeta function

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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
Average
Top 10%
Average
Green
gold