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arXiv · 1504.03140

Duality and Reciprocity for Hypergeometric Series with Gamma Product Formula

Katsunori Iwasaki
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Abstract

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 admit 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.

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BibTeXRIS

Katsunori Iwasaki. 2015-04-13. Duality and Reciprocity for Hypergeometric Series with Gamma Product Formula. https://arxiv.org/abs/1504.03140

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