In mathematics, the little "q"-Jacobi polynomials "p""n"("x";"a","b";"q") are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by . Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.
Definition.
The little "q"-Jacobi polynomials are given in terms of basic hypergeometric functions by 
formula_1
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.