Pregled bibliografske jedinice broj: 914169
Weighted Lattice Paths Enumeration by Gaussian Polynomials
Weighted Lattice Paths Enumeration by Gaussian Polynomials // Proceedings of the Croatian Combinatorial Days / Došlić, T. ; Martinjak, I. (ur.).
Zagreb: Građevinski fakultet Sveučilišta u Zagrebu, 2017. str. 53-63 doi:10.5592/CO/CCD.2016.04 (ostalo, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
CROSBI ID: 914169 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Weighted Lattice Paths Enumeration by Gaussian Polynomials
Autori
Martinjak, Ivica ; Zubac, Ivana
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of the Croatian Combinatorial Days
/ Došlić, T. ; Martinjak, I. - Zagreb : Građevinski fakultet Sveučilišta u Zagrebu, 2017, 53-63
ISBN
978-953-8168-22-2
Skup
Croatian Combinatorial Days
Mjesto i datum
Zagreb, Hrvatska, 29.09.2016. - 30.09.2016
Vrsta sudjelovanja
Ostalo
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Gaussian binomial coefficient, $q$-binomial
Sažetak
The Gaussian polynomial in variable $q$ is defined as the $q$-analog of the binomial coefficient. In addition to remarkable implications of these polynomials to abstract algebra, matrix theory and quantum computing, there is also a combinatorial interpretation through weighted lattice paths. This interpretation is equivalent to weighted board tilings, which can be used to establish Gaussian polynomial identities. In particular, we prove duals of such identities and evaluate related sums.
Izvorni jezik
Engleski
