Naslov
Matrix products of binomial coefficients and unsigned Stirling numbers

Autori
Knežević, Marin ; Krčadinac, Vedran ; Relić, Lucija

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Proceedings of the 3rd Croatian Combinatorial Days

Urednik/ci
Došlić, Tomislav ; Majstorović, Snježana

Izdavač
Građevinski fakultet Sveučilišta u Zagrebu

Grad
Zagreb

Godina
2021

Raspon stranica
35-44

ISBN
978-953-8168-49-9

Ključne riječi
binomial coefficient ; Stirling number ; Lah number

Sažetak
We study sums of the form $\sum_{; ; k=m}; ; ^n a_{; ; nk}; ; b_{; ; km}; ; $, where $a_{; ; nk}; ; $ and $b_{; ; km}; ; $ are binomial coefficients or unsigned Stirling numbers. In a few cases they can be written in closed form. Failing that, the sums still share many common features: combinatorial interpretations, Pascal-like recurrences, inverse relations with their signed versions, and interpretations as coefficients of change between polynomial bases.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA