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arxiv: 1009.1203 · v5 · pith:TA5WPQ33new · submitted 2010-09-07 · 🧮 math.CO · math.CA

Orthogonality Relations for Multivariate Krawtchouk Polynomials

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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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