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Orthogonality Relations for Multivariate Krawtchouk Polynomials

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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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Exactly solvable multicomponent spinless fermions

hep-th · 2025-02-08 · conditional · novelty 5.0

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

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  • Exactly solvable multicomponent spinless fermions hep-th · 2025-02-08 · conditional · none · ref 24 · internal anchor

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