1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
Integral Formulas for the Noncentral Tanny-Dowling Polynomials
Mahid M. Mangontarum, Norlailah M. Madid, Asnawi A. Campong
In this paper, we established some integral formulas for and involving the noncentral Tanny-Dowling polynomials. These formulas are shown to be generalizations of some known result…
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.…
The Translated Whitney-Lah Numbers: Generalizations and q-Analogues
Mahid M. Mangontarum
In this paper, we derive formulas for the translated Whitney-Lah numbers and show that they are generalizations of already-existing identities of the classical Lah numbers. q-analo…
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…
Some Generalizations of Spivey's Bell Number Formula
Mahid M. Mangontarum, Amerah M. Dibagulun
In this paper, a generalized recurrence relation for the -Whitney numbers of the second kind is derived using as framework the operators and satisfying the commutation r…
Some Theorems and Applications of the -Whitney Numbers
Mahid M. Mangontarum
The -Whitney numbers were recently defined in terms of the -Boson operators, and several combinatorial properties which appear to be -analogues of similar properties w…
Spivey's Bell Number Formula Revisited
Mahid M. Mangontarum
This paper introduces an alternative form of the derivation of Spivey's Bell number formula which involves the -Boson operators and . Furthermore, a similar for…