Little q-Jacobi polynomials

The little q-Jacobi polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by

${\displaystyle \displaystyle p_{n}(x;a,b;q)={}_{2}\phi _{1}(q^{-n},abq^{n+1};aq;q,xq)}$

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 plots of imaginary, real and modulus of the said polynomials.

LITTLE Q-JACOBI POLYNOMIALS ABS COMPLEX 3D MAPLE PLOT

LITTLE Q-JACOBI POLYNOMIALS IM COMPLEX 3D MAPLE PLOT

LITTLE Q-JACOBI POLYNOMIALS RE COMPLEX 3D MAPLE PLOT

LITTLE Q-JACOBI POLYNOMIALS ABS DENSITY MAPLE PLOT

LITTLE Q-JACOBI POLYNOMIALS IM DENSITY MAPLE PLOT

LITTLE Q-JACOBI POLYNOMIALS RE DENSITY MAPLE PLOT

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