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Duality and Reciprocity for Hypergeometric Series with Gamma Product Formula. (arXiv:1504.03140v3 [math.CA] UPDATED)
来源于:arXiv
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. 查看全文>>