Continuous dual q-Hahn polynomials

In mathematics, the continuous dual q-Hahn 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 and the q-Pochhammer symbol by


 * $$p_n(x;a,b,c\mid q)=\frac{(ab,ac;q)_n}{a^n}{_3\phi_2}(q^{-n},ae^{i\theta},ae^{-i\theta}; ab, ac \mid q;q)$$

In which $$x=\cos(\theta)$$