\[C_{n}\left(\cos\theta;\beta\,|\,q\right)=\frac{\left(\beta^{2};q\right)_{n}}{%
\left(q;q\right)_{n}\beta^{\frac{1}{2}n}}{{}_{4}\phi_{3}}\left({q^{-n},\beta^{%
2}q^{n},\beta^{\frac{1}{2}}{\mathrm{e}}^{\mathrm{i}\theta},\beta^{\frac{1}{2}}%
{\mathrm{e}}^{-\mathrm{i}\theta}\atop\beta q^{\frac{1}{2}},-\beta,-\beta q^{%
\frac{1}{2}}};q,q\right).\]