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Orthogonality Relations for Multivariate Krawtchouk Polynomials

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arxiv 1009.1203 v5 pith:TA5WPQ33 submitted 2010-09-07 math.CO math.CA

Hiroshi Mizukawa This is my paper · ORCID
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keywords orthogonalitycasegivenkrawtchoukmultivariatenecessarypolynomialsrelations
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The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Gr\"unbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages, arXiv:1007.4327]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case.

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Cited by 2 Pith papers

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  1. The Lie algebra $\mathfrak{sl}_4(\mathbb C)$ and the hypercubes

    math.CO 2025-05 conditional novelty 7.0 of 10

    The degree-N polynomials in four variables, the fixed 3-tensors of the hypercube, and the hypercube Terwilliger algebra are all isomorphic as sl4(C)-modules, with explicit maps.

  2. Exactly solvable multicomponent spinless fermions

    hep-th 2025-02 conditional novelty 5.0 of 10

    Four exactly solvable multicomponent spinless fermion models are constructed from multivariate Krawtchouk, Meixner, and two Rahman-like polynomial families.

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