4 citations · 6 across the 6 of their papers we have counts for
6 papers
Infinite Orders and Non--finite Property of -Dimensional Lattice Walks
Daniel K. Du, Qing-Hu Hou, Rong-Hua Wang
Recently, Bostan and his coauthors investigated lattice walks restricted to the non-negative octant . For the non-trivial models with at most six steps, they…
The Method of Multiple Combinatorial Telescoping
Daniel K. Du, Qing-Hu Hou, Charles B. Mei
We generalize the method of combinatorial telescoping to the case of multiple summations. We shall demonstrate this idea by giving combinatorial proofs for two identities of Andrew…
Abel's Lemma and Identities on Harmonic Numbers
Hai-Tao Jin, Daniel K. Du
Recently, Chen, Hou and Jin used both Abel's lemma on summation by parts and Zeilberger's algorithm to generate recurrence relations for definite summations. Meanwhile, they propos…
Congruences of Multipartition Functions Modulo Powers of Primes
William Y. C. Chen, Daniel K. Du, Qing-Hu Hou +1
Let denote the number of -component multipartitions of , and let be the space spanned by , where is the Dedekind's eta function and…
Partially Ordinal Sums and -partitions
Daniel K. Du, Qing-Hu Hou
We present a method of computing the generating function $f_P(\x)$ of -partitions of a poset . The idea is to introduce two kinds of transformations on posets and compute $f_…
Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions
William Y. C. Chen, Daniel K. Du, Charles B. Mei
Following the method of combinatorial telescoping for alternating sums given by Chen, Hou and Mu, we present a combinatorial telescoping approach to partition identities on sums of…