75 citations · 402 across the 82 of their papers we have counts for
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cs.SC2015★ 6 cited
A Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms
Shaoshi Chen, Hui Huang, Manuel Kauers +1
The Abramov-Petkovsek reduction computes an additive decomposition of a hypergeometric term, which extends the functionality of the Gosper algorithm for indefinite hypergeometric s…
cs.SC2015★ 15 cited
Integral D-Finite Functions
Manuel Kauers, Christoph Koutschan
We propose a differential analog of the notion of integral closure of algebraic function fields. We present an algorithm for computing the integral closure of the algebra defined b…