✦ LIBER ✦
Counting pairs of nonintersecting lattice paths with respect to weighted turns
✍ Scribed by Christian Krattenthaler; Robert A. Sulanke
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 411 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
A formula involving a difference of the products of four q-binomial coefficiems is shown to count pairs of nonintersecting lattice paths having a prescribed number of weighted turns. The weights are assigned to account for the location of the turns according to the major and lesser indices. The result, which is a q-analogue of a variant of the formula of Kreweras and Poupard, is proved bijectively; however, when q ~ 1 the bijection is defined inductively.