Geodesic
Orthogonality Relations for Multivariate Krawtchouk Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011)

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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 Grünbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case.
Keywords: multivariate orthogonal polynomial; hypergeometric function. 
Hiroshi Mizukawa. Orthogonality Relations for Multivariate Krawtchouk Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a16/
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