6 papers
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 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…