11 citations · 17 across the 5 of their papers we have counts for
8 papers
An Additive Decomposition in S-Primitive Towers
Hao Du, Jing Guo, Ziming Li +1
We consider the additive decomposition problem in primitive towers and present an algorithm to decompose a function in an S-primitive tower as a sum of a derivative in the tower an…
Additive Decompositions in Primitive Extensions
Shaoshi Chen, Hao Du, Ziming Li
This paper extends the classical Ostrogradsky-Hermite reduction for rational functions to more general functions in primitive extensions of certain types. For an element in suc…
Apparent Singularities of D-finite Systems
Shaoshi Chen, Manuel Kauers, Ziming Li +1
We generalize the notions of singularities and ordinary points from linear ordinary differential equations to D-finite systems. Ordinary points of a D-finite system are characteriz…
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…