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math.CO2022
Polynomial reduction for holonomic sequences and applications in -series and congruences
Rong-Hua Wang, Michael X. X. Zhong
Polynomial reduction, designed first for hypergeometric terms, can be used to automatically prove and generate new hypergeometric identities from old ones. In this paper, we extend…
math.CO2022
-Rational Reduction and -Analogues of Series for
Rong-Hua Wang, Michael X. X. Zhong
In this paper, we present a -analogue of the polynomial reduction which was originally developed for hypergeometric terms. Using the -Gosper representation, we describe the s…