Little q-Jacobi polynomials

In mathematics, the little q-Jacobi polynomials pn(x;a,b;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by. give a detailed list of their properties.

Definition
The little q-Jacobi polynomials are given in terms of basic hypergeometric functions by
 * $$\displaystyle p_n(x;a,b;q) = {}_2\phi_1(q^{-n},abq^{n+1};aq;q,xq)  $$

Gallery
The following are a set of animation plots for Little q-Jacobi polynomials, with varying  q; three  density plots of  imaginary, real and modulus in complex space; three set of complex 3D plots of imaginary, real and modulus of the said polynomials.