Continuous big q-Hermite polynomials

In mathematics, the continuous big q-Hermite polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.

Definition
The polynomials are given in terms of basic hypergeometric functions. $$H_n(x;a|q)=a^{-n}{}_{3}\phi_2\left[\begin{matrix} q^{-n},ae^{i\theta},ae^{-i\theta}\\ 0,0\end{matrix}
 * q,q\right],\quad x=\cos\,\theta.$$