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Generalized Krawtchouk polynomials: New properties

Norris Sookoo — 2000

Archivum Mathematicum

Orthogonality conditions and recurrence relations are presented for generalized Krawtchouk polynomials. Coefficients are evaluated for the expansion of an arbitrary polynomial in terms of these polynomials and certain special values for generalized Krawtchouk polynomials are obtained. Summations of some of these polynomials and of certain products are also considered.

The difference matrices of the classes of a Sharma-Kaushik partition

Bhu Dev SharmaNorris Sookoo — 2004

Archivum Mathematicum

Sharma-Kaushik partitions have been used to define distances between vectors with n -coordinates. In this paper, “difference matrices” for the partitioning classes have been introduced and investigated. It has been shown that the difference matrices are circulant and that the entries of a product of matrices is an extended intersection number of a distance scheme. The sum of the entries of each row or columns of the product matrix has been obtained. The algebra of matrices generated by the difference...

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