Orthogonal polynomials | Q-analogs | Special hypergeometric functions

Q-Krawtchouk polynomials

In mathematics, the q-Krawtchouk polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw . 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). (Wikipedia).

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Many-body strategies for multi-qubit gates by Kareljan Schoutens

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From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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New Locally Decodable Codes from Lifting - Madhu Sudan

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From playlist Harmonic Analysis and Analytic Number Theory

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Related pages

Quantum q-Krawtchouk polynomials | Affine q-Krawtchouk polynomials | Dual q-Krawtchouk polynomials | Orthogonal polynomials | Digital Library of Mathematical Functions | Askey scheme