Hypergeometric series with gamma product formula


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/72142

Title:	Hypergeometric series with gamma product formula
Authors:	Iwasaki, Katsunori Browse this author →KAKEN DB
Keywords:	Hypergeometric series
	Gamma product formula
	Closed-form expression
	Asymptotic analysis
	Contiguous relation
Issue Date:	Apr-2017
Publisher:	Elsevier
Journal Title:	Indagationes mathematicae. New series
Volume:	28
Issue:	2
Start Page:	463
End Page:	493
Publisher DOI:	10.1016/j.indag.2016.12.001
Abstract:	We consider non-terminating Gauss hypergeometric series with one free parameter. Using various properties of hypergeometric functions we obtain some necessary conditions of arithmetic flavor for such series to admit gamma product formulas. (C) 2016 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
Rights:	©2016 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Rights:	http://creativecommons.org/licenses/by-nc-nd/4.0/
Type:	article (author version)
URI:	http://hdl.handle.net/2115/72142
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

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