11 citations · 26 across the 6 of their papers we have counts for
6 papers
On the Structure of Compatible Rational Functions
Shaoshi Chen, Ruyong Feng, Guofeng Fu +1
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shif…
Complexity of Creative Telescoping for Bivariate Rational Functions
Alin Bostan, Shaoshi Chen, Frédéric Chyzak +1
The long-term goal initiated in this work is to obtain fast algorithms and implementations for definite integration in Almkvist and Zeilberger's framework of (differential) creativ…
Hermite Reduction and Creative Telescoping for Hyperexponential Functions
Alin Bostan, Shaoshi Chen, Frédéric Chyzak +2
We present a reduction algorithm that simultaneously extends Hermite's reduction for rational functions and the Hermite-like reduction for hyperexponential functions. It yields a u…
Desingularization Explains Order-Degree Curves for Ore Operators
Shaoshi Chen, Maximilian Jaroschek, Manuel Kauers +1
Desingularization is the problem of finding a left multiple of a given Ore operator in which some factor of the leading coefficient of the original operator is removed. An order-de…
On the Existence of Telescopers for Mixed Hypergeometric Terms
Shaoshi Chen, Frédéric Chyzak, Ruyong Feng +2
We present a criterion for the existence of telescopers for mixed hypergeometric terms, which is based on multiplicative and additive decompositions. The criterion enables us to de…
On the Summability of Bivariate Rational Functions
Shaoshi Chen, Michael F. Singer
We present criteria for deciding whether a bivariate rational function in two variables can be written as a sum of two (q-)differences of bivariate rational functions. Using these…