In mathematics, the dual q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
The polynomials are given in terms of basic hypergeometric functions.
| -x | |
| R | |
| n(q |
+\gamma\deltaqx+1,\gamma,\delta,N|q)={}3\phi2\left[\begin{matrix}q-n,q-x,\gamma\deltaqx+1\ \gammaq,q-N\end{matrix};q,q\right], n=0,1,2,...,N