Rong-Hua Wang, Michael X.X. Zhong

Journal of Symbolic Computation(2023)

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摘要
In this paper, we present a q -analogue of the polynomial reduction which was originally developed for hypergeometric terms. Using the q -Gosper representation, we describe the structure of rational functions that are summable when multiplied with a given q -hypergeometric term. The structure theorem enables us to generalize the q -polynomial reduction to the rational case, which can be used in the automatic proof and discovery of q -identities. As applications, several q -analogues of series for π are presented.
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关键词
Summability,Rational reduction,Series for π
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