 Affine q-Krawtchouk polynomials

Affine \( q \)-Krawtchouk polynomials are a family of orthogonal polynomials that arise in the context of quantum calculus or non-classical orthogonal polynomial theory, particularly in relation to \( q \)-analogs of established mathematical concepts. These polynomials generalize the classical Krawtchouk polynomials, which are associated with the binomial distribution and combinatorial problems.