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cs.SC2023
Reducing Hyperexponential Functions over Monomial Extensions
Shaoshi Chen, Hao Du, Yiman Gao +1
We extend the shell and kernel reductions for hyperexponential functions over the field of rational functions to a monomial extension. Both of the reductions are incorporated into…
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…