\[\frac{\left(q;q\right)_{n}}{\left(q^{\alpha+1};q\right)_{n}}P_{n}^{(\alpha,%
\beta)}(x\,|\,q)=R_{n}\left(z;q^{\frac{1}{2}\alpha+\frac{1}{4}},q^{\frac{1}{2}%
\alpha+\frac{3}{4}},-q^{\frac{1}{2}\beta+\frac{1}{4}},-q^{\frac{1}{2}\beta+%
\frac{3}{4}}\,|\,q\right)={{}_{4}\phi_{3}}\left({q^{-n},q^{n+\alpha+\beta+1},q%
^{\frac{1}{2}\alpha+\frac{1}{4}}z,q^{\frac{1}{2}\alpha+\frac{1}{4}}z^{-1}\atop
q%
^{\alpha+1},-q^{\frac{1}{2}(\alpha+\beta+1)},-q^{\frac{1}{2}(\alpha+\beta+2)}}%
;q,q\right).\]