Matrix Decomposition of the Unified Generalized Stirling Numbers and Inversion of the Generalized Factorial Matrices
School of Biomedical Engineering and Instrumental Science
In this paper, we give a matrix decomposition method used to calculate
unified generalized Stirling numbers in an explicit, non-recursive
mode, and some of its applications. Then, we define generalized
factorial matrices which may be regarded as a generalization in the form of
the Vandermonde matrices, and presents some of their properties
--- in particular,
triangular matrix factors of the inverse matrices of the
generalized factorial matrices.
Full version: pdf,
(Concerned with sequence
Received February 15 2012;
revised version received June 15 2012.
Published in Journal of Integer Sequences, June 26 2012.
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