Two new families of q-positive integers
| dc.creator | Hou, Sharon J. X. | |
| dc.creator | Zeng, Jiang | |
| dc.date | 2004-03-03 | |
| dc.date | 2004-03-05 | |
| dc.date.accessioned | 2026-07-07T05:05:53Z | |
| dc.date.available | 2026-07-07T05:05:53Z | |
| dc.description | Let $n,p,k$ be three positive integers. We prove that the rational fractions of $q$: $${n \brack k}_{q} {}_3ϕ_{2} [ . {matrix}q^{1-k},q^{-p},q^{p-n} q,q^{1-n} {matrix}| q;q^{k+1}]\quad\textrm{and}\quad q^{(n-p)p}\qbi{n}{k}{q} {}_3ϕ_2[ . {matrix}q^{1-k},q^{-p},q^{p-n} q,q^{1-n} {matrix}|q;q] $$ are polynomials of $q$ with positive integer coefficients. This generalizes a recent result of Lassalle (Ann. Comb. 6(2002), no. 3-4, 399-405), in the same way as the classical $q$-binomial coefficients refine the ordinary binomial coefficients. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403064 | |
| dc.identifier | http://arxiv.org/abs/math/0403064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70341 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A30;33D15 | |
| dc.title | Two new families of q-positive integers | |
| dc.type | text |