Orthogonality Relations for Multivariate Krawtchouk Polynomials

Abstract

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, arXiv:1007.4327]. In this study, a simple proof of the necessary and sufficient condition of orthogonality is given for a general case.

References in corpus (1)

• On a Family of 2-Variable Orthogonal Krawtchouk Polynomials

Cited by in corpus (4)

• The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states
• A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application
• On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
• Lancaster distributions and Markov chains with Multivariate Poisson-Charlier, Meixner and Hermite-Chebycheff polynomial eigenfunctions