5 papers
Order-Degree-Height Surfaces for Linear Operators
Hui Huang, Manuel Kauers, Gargi Mukherjee
It is known for linear operators with polynomial coefficients annihilating a given D-finite function that there is a trade-off between order and degree. Raising the order may give…
Efficient q-Integer Linear Decomposition of Multivariate Polynomials
Mark Giesbrecht, Hui Huang, George Labahn +1
We present two new algorithms for the computation of the q-integer linear decomposition of a multivariate polynomial. Such a decomposition is essential for the treatment of q-hyper…
Definite Sums of Hypergeometric Terms and Limits of P-Recursive Sequences
Hui Huang
The ubiquity of the class of D-finite functions and P-recursive sequences in symbolic computation is widely recognized. In this thesis, the presented work consists of two parts rel…
Ultimate Positivity of Diagonals of Quasi-rational Functions
Hui Huang
The problem to decide whether a given multivariate (quasi-)rational function has only positive coefficients in its power series expansion has a long history. It dates back to Szego…
New Bounds for Hypergeometric Creative Telescoping
Hui Huang
Based on a modified version of Abramov-Petkovšek reduction, a new algorithm to compute minimal telescopers for bivariate hypergeometric terms was developed last year. We investigat…