14 citations · 36 across the 9 of their papers we have counts for
11 papers
On (3,1)-regular graphs with one more vertex than edges
Frédéric Chyzak, Hui Huang, Manuel Kauers
Sequence A339987 of the OEIS counts (3,1)-regular graphs having one more vertex than edges by half the number of vertices. A recurrence relation satisfied by this sequence was gues…
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…
Efficient Rational Creative Telescoping
Mark Giesbrecht, Hui Huang, George Labahn +1
We present a new algorithm to compute minimal telescopers for rational functions in two discrete variables. As with recent reduction-based approaches, our algorithm has the importa…
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…
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…
The stability and energy exchange mechanism of divergent states with real energy
Hao Jiang, Xiang-Jun Kong, Hui-Ping Huang
The eigenvalue of the hermitic Hamiltonian is real undoubtedly. Actually, The reality can also be guaranteed by the -symmetry. The hermiticity and the -symmetric quantum th…
D-finite Numbers
Hui Huang, Manuel Kauers
D-finite functions and P-recursive sequences are defined in terms of linear differential and recurrence equations with polynomial coefficients. In this paper, we introduce a class…
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…
A Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms
Shaoshi Chen, Hui Huang, Manuel Kauers +1
The Abramov-Petkovsek reduction computes an additive decomposition of a hypergeometric term, which extends the functionality of the Gosper algorithm for indefinite hypergeometric s…