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.
The little q-Jacobi polynomials are given in terms of basic hypergeometric functions by
\displaystylepn(x;a,b;q)={}2\phi
| -n | |
| 1(q |
,abqn+1;aq;q,xq)
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 plotsof imaginary, real and modulus of the said polynomials.