Work

The r-Dowling Numbers and Matrices Containing r-Whitney Numbers of the Second Kind and Lah Numbers

Year: 2019

Type: article

Abstract: This paper derives another form of explicit formula for $(r,\beta)$-Bell numbers using the Faa di Bruno's formula and certain identity of Bell polynomials of the second kind. This formula is expressed in terms of the $r$-Whitney numbers of the second kind and the ordinary Lah numbers. As a consequence, a relation between $(r,\beta)$-Bell numbers and the sums of row entries of the product of two matrices containing the $r$-Whitney numbers of the second kind and the ordinary Lah numbers is established. Moreover, a $q$-analogue of the explicit formula is obtained.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v12i3.3494

Authors: Roberto Bagsarsa Corcino, Charles Montero, Maribeth Montero, Jay Ontolan

Institutions: Cebu Normal University, Mindanao State University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2964083709

FWCI: 0.312

Cites:

Cited by: 1

Related to: 10