Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers
We enumerate height-restricted path diagrams associated with $q$-tangent and $q$-secant numbers by considering convergents of continued fractions, leading to expressions involving basic hypergeometric functions. Our work generalises some results by M. Josuat-Verg\'es for unrestricted path diagr...
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | We enumerate height-restricted path diagrams associated with $q$-tangent and
$q$-secant numbers by considering convergents of continued fractions, leading
to expressions involving basic hypergeometric functions. Our work generalises
some results by M. Josuat-Verg\'es for unrestricted path diagrams [European
Journal of Combinatorics 31 (2010) 1892]. |
---|---|
DOI: | 10.48550/arxiv.1907.04172 |