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arXiv · 1307.5777

Generalizing Krawtchouk polynomials using Hadamard matrices

Peter S Chami·Bernd Sing·Norris Sookoo
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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.

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Peter S Chami, Bernd Sing, Norris Sookoo. 2013-07-22. Generalizing Krawtchouk polynomials using Hadamard matrices. https://doi.org/10.1155/2014%2F498135

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