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Q-Krawtchouk polynomials : ウィキペディア英語版 | Q-Krawtchouk polynomials
In mathematics, the ''q''-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties. showed that the ''q''-Krawtchouk polynomials are spherical functions for 3 different Chevalley groups over finite fields, and showed that they are related to representations of the quantum group SU(2). ==Definition==
The polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by :
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