11 citations · 17 across the 5 of their papers we have counts for
10 papers · 1 filter
Complete Reduction for Derivatives in a Primitive Tower
Hao Du, Yiman Gao, Wenqiao Li +1
A complete reduction for derivatives in a differential field is a linear operator on the field over its constant subfield. The reduction enables us to decompose an element …
A Unified Reduction for Hypergeometric and q-Hypergeometric Creative Telescoping
Shaoshi Chen, Hao Du, Yiman Gao +2
We adapt the theory of normal and special polynomials from symbolic integration to the summation setting, and then built up a general framework embracing both the usual shift case…
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…