Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers
Combinatorics
2019-07-10 v1
Abstract
We enumerate height-restricted path diagrams associated with -tangent and -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].
Keywords
Cite
@article{arxiv.1907.04172,
title = {Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers},
author = {Anum Khalid and Thomas Prellberg},
journal= {arXiv preprint arXiv:1907.04172},
year = {2019}
}
Comments
25 pages, 1 figure