Matrix Decomposition of the $r$-Whitney Numbers
DOI:
https://doi.org/10.29020/nybg.ejpam.v19i2.7009Keywords:
$r$-Whitney Matrix Transform, Decomposition Formulae for $r$-Whitney Matrix TransformsAbstract
In this study, we gave a decomposition method used to calculate $r$-Whitney numbers of the first and second kind in an explicit and non-recursive mode. Then, we expressed the generalized factorial matrices in terms of the $r$Whitney transform matrix which may be regarded as a generalization in the form of the Vandermonde matrices. Consequently, we presented some properties of the generalized factorial matrices, particularly the triangular matrix factors of their inverse matrices.
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Copyright (c) 2026 Nurhaya Kabirun, Charles B. Montero
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