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cs.SC2023
Stability Problems on D-finite Functions
Shaoshi Chen, Ruyong Feng, Zewang Guo +1
This paper continues the studies of symbolic integration by focusing on the stability problems on D-finite functions. We introduce the notion of stability index in order to investi…
cs.SC2023★ 1 cited
Reduction-based Creative Telescoping for P-recursive Sequences via Integral Bases
Shaoshi Chen, Lixin Du, Manuel Kauers +1
We propose a way to split a given bivariate P-recursive sequence into a summable part and a non-summable part in such a way that the non-summable part is minimal in some sense. Thi…
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…