3 citations · 6 across the 8 of their papers we have counts for
8 papers
A construction method for WZ seeds
Qing-Hu Hou, Yan-Ping Mu
We propose a systematic method for constructing Wilf-Zeilberger (WZ) seeds and present seven WZ seeds. We also demonstrate how to construct WZ seeds from existing ones. With these…
Polynomial Reduction and Super Congruences
Qing-Hu Hou, Yan-Ping Mu, Doron Zeilberger
Based on a reduction processing, we rewrite a hypergeometric term as the sum of the difference of a hypergeometric term and a reduced hypergeometric term (the reduced part, in shor…
Telescoping method and congruences for double sums
Yan-Ping Mu, Zhi-Wei Sun
In recent years, Z.-W. Sun proposed several sophisticated conjectures on congruences for finite sums with terms involving combinatorial sequences such as central trinomial coeffici…
Congruences on the Number of Restricted -ary Partitions
Qing-Hu Hou, Hai-Tao Jin, Yan-Ping Mu +1
Andrews, Brietzke, Rødseth and Sellers proved an infinite family of congruences on the number of the restricted -ary partitions when is a prime. In this note, we show that t…
The Extended Zeilberger's Algorithm with Parameters
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
For a hypergeometric series with parameters , Paule has found a variation of Zeilberger's algorithm to establish recurrence relations involv…
Nonterminating Basic Hypergeometric Series and the -Zeilberger Algorithm
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
We present a systematic method for proving nonterminating basic hypergeometric identities. Assume that is the summation index. By setting a parameter to , we may find…