雙q哈恩多項式是一個以基本超幾何函式定義的正交多項式
R_{n}(\mu(x);\delta,\gamma,N|q)=_{3}\Phi_{2}(q^{-n},q^{-x},\gamma\delta{q}^{x+1};\gamma{q},q_{N};q,q)
n=1,2,3\cdotsN
R_{n}(\mu(x);\delta,\gamma,N|q)=_{3}\Phi_{2}(q^{-n},q^{-x},\gamma\delta{q}^{x+1};\gamma{q},q_{N};q,q)
n=1,2,3\cdotsN