<紀要論文>
DUALITY AND RECIPROCITY FOR HYPERGEOMETRIC SERIES WITH A GAMMA PRODUCT FORMULA

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概要 Following a previous article we continue our study on non-terminating hypergeometric series with one free parameter, which aims to find arithmetical constraints for a given hypergeometric series to ad...mit a gamma product formula. In this article we exploit the concepts of duality and reciprocity not only to extend already obtained results to a larger region but also to strengthen themselves substantially. Among other things we are able to settle the rationality and finiteness conjectures posed in the previous article.続きを見る

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登録日 2021.04.28
更新日 2024.12.02

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