Bispectrality and biorthogonality of the rational functions of $q$-Hahn type

Ismaël Bussière, Julien Gaboriaud, Luc Vinet +1

We introduce families of rational functions that are biorthogonal with respect to the $q$-hypergeometric distribution. A triplet of $q$-difference operators $X$, $Y$, $Z$ is shown…