\[\int_{0}^{\infty}\frac{S_{n}\left(x;q\right)S_{m}\left(x;q\right)}{\left(-x,-%
qx^{-1};q\right)_{\infty}}\,\mathrm{d}x=\frac{\ln\left(q^{-1}\right)}{q^{n}}%
\frac{\left(q;q\right)_{\infty}}{\left(q;q\right)_{n}}\delta_{n,m},\]