Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality and Reciprocity for Hypergeometric Series with Gamma Product
  Formula   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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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg