\[\tilde{h}_{n}\left(x;q\right)=\left(q;q\right)_{n}\sum_{\ell=0}^{\left\lfloor n%
/2\right\rfloor}\frac{(-1)^{\ell}q^{-2n\ell}q^{\ell(2\ell+1)}x^{n-2\ell}}{%
\left(q^{2};q^{2}\right)_{\ell}\left(q;q\right)_{n-2\ell}}=x^{n}{{}_{2}\phi_{1%
}}\left({q^{-n},q^{-n+1}\atop 0};q^{2},-x^{-2}q^{2}\right).\]