\[Q_{n}\left(\cos\theta;a,b\,|\,q\right)=p_{n}\left(\cos\theta;a,b,0,0\,|\,q%
\right)=a^{-n}\sum_{\ell=0}^{n}q^{\ell}\frac{\left(abq^{\ell};q\right)_{n-\ell%
}\left(q^{-n};q\right)_{\ell}}{\left(q;q\right)_{\ell}}\*\prod_{j=0}^{\ell-1}(%
1-2aq^{j}\cos\theta+a^{2}q^{2j})=\frac{\left(ab;q\right)_{n}}{a^{n}}{{}_{3}%
\phi_{2}}\left({q^{-n},a{\mathrm{e}}^{\mathrm{i}\theta},a{\mathrm{e}}^{-%
\mathrm{i}\theta}\atop ab,0};q,q\right)=\left(b{\mathrm{e}}^{-\mathrm{i}\theta%
};q\right)_{n}{\mathrm{e}}^{\mathrm{i}n\theta}{{}_{2}\phi_{1}}\left({q^{-n},a{%
\mathrm{e}}^{\mathrm{i}\theta}\atop b^{-1}q^{1-n}{\mathrm{e}}^{\mathrm{i}%
\theta}};q,b^{-1}q{\mathrm{e}}^{-\mathrm{i}\theta}\right).\]