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Funkcialaj Ekvacioj
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arXiv.org e-Print Archive
Preprint . 2019
Data sources: arXiv.org e-Print Archive
Funkcialaj Ekvacioj
Article . 2021 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2019
License: arXiv Non-Exclusive Distribution
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Connection Problem for the Generalized Hypergeometric Function

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Dec 2021Embargo end date: 01 Jan 2019 English Publisher:Division of Functional Equations, The Mathematical Society of Japan (JST)Journal:Funkcialaj Ekvacioj, volume 64, pages 323-348 (issn: 0532-8721, Copyright policy )
Authors: Matsuhira, Y.; Nagoya, H.;

doi: 10.1619/fesi.64.323 , 10.48550/arxiv.1904.02935

arXiv: 1904.02935

Connection Problem for the Generalized Hypergeometric Function

Abstract

We solve connection problem between fundamental solutions at singular points $0$ and $1$ for the generalized hypergeometric function, using analytic continuation of the integral representation. All connection coefficients are products of the sine and the cosecant.

18 pages

Related Organizations
Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: 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!
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