Geodesic
Counting Upper Interactions in Dyck Paths
Séminaire lotharingien de combinatoire, Tome 54 (2006-2007) 
Yvan Le Borgne. Counting Upper Interactions in Dyck Paths. Séminaire lotharingien de combinatoire, Tome 54 (2006-2007). http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/
@article{SLC_2006-2007_54_a5,
     author = {Yvan Le Borgne},
     title = {Counting {Upper} {Interactions} in {Dyck} {Paths}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2006-2007},
     volume = {54},
     url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/}
}
TY  - JOUR
AU  - Yvan Le Borgne
TI  - Counting Upper Interactions in Dyck Paths
JO  - Séminaire lotharingien de combinatoire
PY  - 2006-2007
VL  - 54
UR  - http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/
ID  - SLC_2006-2007_54_a5
ER  - 
%0 Journal Article
%A Yvan Le Borgne
%T Counting Upper Interactions in Dyck Paths
%J Séminaire lotharingien de combinatoire
%D 2006-2007
%V 54
%U http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/
%F SLC_2006-2007_54_a5

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Upper and lower interactions are parameters of Dyck paths which are motivated by corresponding parameters in a model of partially directed polymers. We investigate the problem of obtaining the generating function for Dyck paths with respect to upper interactions in terms of basic hypergeometric q-series in which an algebraic term occurs.