On Divisibility Property of Type 2 $(p,q)$-Analogue of $r$-Whitney Numbers of the Second Kind

TL;DR

This paper establishes a divisibility property and congruence relation modulo pq for the type 2 (p,q)-analogue of r-Whitney numbers of the second kind, extending understanding of their algebraic structure.

Contribution

It introduces a new divisibility property and congruence relation for the (p,q)-analogue of r-Whitney numbers of the second kind, which was not previously known.

Findings

Derived a congruence relation modulo pq for the (p,q)-analogue

Established a divisibility property for the type 2 (p,q)-analogue

Extended algebraic understanding of r-Whitney numbers

Abstract

In this paper, the divisibility property of the type 2 $(p, q)$-analogue of the $r$-Whitney numbers of the second kind is established. More precisely, a congruence relation modulo $pq$ for this $(p,q)$-analogue is derived.