𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multibasic Eulerian Polynomials

✍ Scribed by Dominique Foata and Doron Zeilberger


Book ID
125701726
Publisher
American Mathematical Society
Year
1991
Tongue
English
Weight
413 KB
Volume
328
Category
Article
ISSN
0002-9947

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Eulerian Numbers and Polynomials
✍ L. Carlitz πŸ“‚ Article πŸ“… 1959 πŸ› Mathematical Association of America 🌐 English βš– 617 KB
q-Eulerian Polynomials Arising from Coxe
✍ Francesco Brenti πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 640 KB

We study the polynomials obtained by enumerating a finite Coxeter group by number of descents. The type \(A\) case gives rise to the familiar Eulerian polynomials, while the \(B\) and \(D\) cases provide two new \(q\)-analogues. Various recursion relations, generating functions and unimodality prope