Affine q-Krawtchouk polynomialsIn 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.DefinitionThe polynomials are given in terms of basic hypergeometric functions byRelation to other polynomialsaffine q-Krawtchouk polynomials → little q-Laguerre polynomials: