14 citations · 23 across the 11 of their papers we have counts for
4 papers · 1 filter
Constructing minimal telescopers for rational functions in three discrete variables
Shaoshi Chen, Qing-Hu Hou, Hui Huang +2
We present a new algorithm for constructing minimal telescopers for rational functions in three discrete variables. This is the first discrete reduction-based algorithm that goes b…
On the Existence of Telescopers for Rational Functions in Three Variables
Shaoshi Chen, Lixin Du, Rong-Hua Wang +1
Zeilberger's method of creative telescoping is crucial for the computer-generated proofs of combinatorial and special-function identities. Telescopers are linear differential or ($…
Existence Problem of Telescopers: Beyond the Bivariate Case
Shaoshi Chen, Qing-Hu Hou, George Labahn +1
In this paper, we solve the existence problem of telescopers for rational functions in three discrete variables. We reduce the problem to that of deciding the summability of bivari…
An Algorithm for Deciding the Summability of Bivariate Rational Functions
Qing-Hu Hou, Rong-Hua Wang
Let and be the difference operators with respect to and . A rational function is called summable if there…