English

Orthogonality Relations for Multivariate Krawtchouk Polynomials

Combinatorics 2011-02-23 v5 Classical Analysis and ODEs

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 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.

Keywords

Cite

@article{arxiv.1009.1203,
  title  = {Orthogonality Relations for Multivariate Krawtchouk Polynomials},
  author = {Hiroshi Mizukawa},
  journal= {arXiv preprint arXiv:1009.1203},
  year   = {2011}
}
R2 v1 2026-06-21T16:10:19.066Z