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math.GM2026
On the Unified Generalized -Stirling Matrices and Their Matrix Decompositions
Amerah M. Dibagulun, Charles B. Montero, Mahid M. Mangontarum
In this paper, the unified generalized -Stirling matrices are defined in terms of the -analogues of the unified generalized Stirling numbers. Several matrix relations involvi…
math.GM2020
Bivariate Extension of the r-Dowling Polynomials and the Generalized Spivey's Formula
Mahid M. Mangontarum
In this paper, we extend the r-Dowling polynomials to their bivariate forms. Several properties that generalize those of the bivariate Bell and r-Bell polynomials are established.…
math.GM2020
On Noncentral Tanny-Dowling Polynomials and Generalizations of Some Formulas for Geometric Polynomials
Mahid M. Mangontarum, Norlailah M. Madid
In this paper, we establish some formulas for the noncentral Tanny-Dowling polynomials including sums of products and explicit formulas which are shown to be generalizations of kno…