Generalizing Krawtchouk polynomials using Hadamard matrices
Combinatorics
2019-07-23 v1 Classical Analysis and ODEs
Abstract
We investigate polynomials, called m-polynomials, whose generator polynomial has coefficients that can be arranged as a matrix, where q is a positive integer greater than one. Orthogonality relations are established and coefficients are obtained for the expansion of a polynomial in terms of m-polynomials. We conclude this article by an implementation in MATHEMATICA of m-polynomials and the results obtained for them.
Cite
@article{arxiv.1307.5777,
title = {Generalizing Krawtchouk polynomials using Hadamard matrices},
author = {Peter S Chami and Bernd Sing and Norris Sookoo},
journal= {arXiv preprint arXiv:1307.5777},
year = {2019}
}
Comments
10 pages, includes MATHEMATICA code