The Narayana transformation

Jianxi Mao, Lijie Wang

For $m\in {\mathbb{Z}}_{\ge 0}$, let \[ N_{n,m}(x)={}_2F_1(-n,-n-m;m+1;x), \] which specializes to the Narayana polynomials of types $B$ and $A$ for $m=0$ and $m=1$, respectively. We…