DOAJ Open Access 2015

Statistics on Lattice Walks and q-Lassalle Numbers

Lenny Tevlin

Lihat Sumber DOI

Abstrak

This paper contains two results. First, I propose a $q$-generalization of a certain sequence of positive integers, related to Catalan numbers, introduced by Zeilberger, see Lassalle (2010). These $q$-integers are palindromic polynomials in $q$ with positive integer coefficients. The positivity depends on the positivity of a certain difference of products of $q$-binomial coefficients.To this end, I introduce a new inversion/major statistics on lattice walks. The difference in $q$-binomial coefficients is then seen as a generating function of weighted walks that remain in the upper half-plan.

Topik & Kata Kunci

Mathematics

Penulis (1)

Lenny Tevlin

Format Sitasi

APA MLA BibTeX

Tevlin, L. (2015). Statistics on Lattice Walks and q-Lassalle Numbers. https://doi.org/10.46298/dmtcs.2528

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2528

Informasi Jurnal

Tahun Terbit: 2015
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2528
Akses: Open Access ✓