Generalizing Krawtchouk polynomials using Hadamard matrices

DOI10.1155/2014/498135zbMath1298.33012arXiv1307.5777OpenAlexW3103846388WikidataQ59048349 ScholiaQ59048349MaRDI QIDQ469931

Norris Sookoo, Peter S. Chami, Bernd Sing

Publication date: 11 November 2014

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5777

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Software, source code, etc. for problems pertaining to special functions (33-04) Boolean and Hadamard matrices (15B34)

Uses Software

• Mathematica

Cites Work

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• Face recognition using Krawtchouk moment
• The combinatorics of a class of representation functions
• On integral zeros of Krawtchouk polynomials
• The generalized Krawtchouk polynomials and the fifth Painlevé equation
• The MacWilliams Identities for Nonlinear Codes
• The quantum algebraU_q(su₂) andq-Krawtchouk families of polynomials
• Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces
• Group Theory of Harmonic Oscillators in n-Dimensional Space
• A CHARACTERIZATION THEOREM FOR POSITIVE DEFINITE SEQUENCES ON THE KRAWTCHOUK POLYNOMIALS1
• Integer zeros of \(q\)-Krawtchouk polynomials in classical combinatorics

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