Orthogonality Relations for Multivariate Krawtchouk Polynomials

[摘要] 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.

[关键词] multivariate orthogonal polynomial;hypergeometric function