In mathematics, the affine q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Carlitz and Hodges. give a detailed list of their properties.
The polynomials are given in terms of basic hypergeometric functions by
affine q-Krawtchouk polynomials â little q-Laguerre polynomialsï¼Â