11 citations · 29 across the 12 of their papers we have counts for
14 papers · 1 filter
Stability Problems in Symbolic Integration
Shaoshi Chen
This paper aims to initialize a dynamical aspect of symbolic integration by studying stability problems in differential fields. We present some basic properties of stable elementar…
Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions
Shaoshi Chen, Lixin Du, Manuel Kauers
Bronstein's lazy Hermite reduction is a symbolic integration technique that reduces algebraic functions to integrands with only simple poles without the prior computation of an int…
Separability Problems in Creative Telescoping
Shaoshi Chen, Ruyong Feng, Pingchuan Ma +1
For given multivariate functions specified by algebraic, differential or difference equations, the separability problem is to decide whether they satisfy linear differential or dif…
Telescopers for differential forms with one parameter
Shaoshi Chen, Ruyong Feng, Ziming Li +2
Telescopers for a function are linear differential (resp. difference) operators annihilated by the definite integral (resp. definite sum) of this function. They play a key role in…
Integral P-Recursive Sequences
Shaoshi Chen, Lixin Du, Manuel Kauers +1
In an earlier paper, the notion of integrality known from algebraic number fields and fields of algebraic functions has been extended to D-finite functions. The aim of the present…
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 ($…