Combinatorics of geometrically distributed random variables: New q-tangent and q-secant numbers
| dc.creator | Prodinger, Helmut | |
| dc.date | 1999-10-19 | |
| dc.date.accessioned | 2026-07-07T05:31:13Z | |
| dc.date.available | 2026-07-07T05:31:13Z | |
| dc.description | Up-down permutations are counted by tangent resp. secant numbers. Considering words instead, where the letters are produced by independent geometric distributions, there are several ways of introducing this concept; in the limit they all coincide with the classical version. In this way, we get some new q-tangent and q-secant functions. Some of them also have nice continued fraction expansions; in one particular case, we could not find a proof for it. Divisibility results a la Andrews/Foata/Gessel are also discussed. | |
| dc.description | If you want to see more of my papers, go here: http://www.wits.ac.za/helmut/paperlst.htm | |
| dc.identifier | https://arxiv.org/abs/math/9910096 | |
| dc.identifier | http://arxiv.org/abs/math/9910096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79259 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A15 | |
| dc.title | Combinatorics of geometrically distributed random variables: New q-tangent and q-secant numbers | |
| dc.type | text |