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.
Definition
The polynomials are given in terms of basic hypergeometric functions by Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analogues, p. 501, Springer, 2010
Relation to other polynomials
affine q-Krawtchouk polynomials → little q-Laguerre polynomials：
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References