arXiv subjects

Amerah M. Dibagulun

Publications and source records attributed to Amerah M. Dibagulun.

2 recordsLinked to original sources

arXiv2026

On the Unified Generalized $q$-Stirling Matrices and Their Matrix Decompositions

In this paper, the unified generalized $q$-Stirling matrices are defined in terms of the $q$-analogues of the unified generalized Stirling numbers. Several matrix relations involving these matrices are derived, and matrix decompositions of the unified generalized $q$-Stirling matrices are established.

math.GM↗

arXiv2018

Some Generalizations of Spivey's Bell Number Formula

In this paper, a generalized recurrence relation for the $r$-Whitney numbers of the second kind is derived using as framework the operators $X$ and $D$ satisfying the commutation relation $DX-XD=1$. This recurrence relation is shown to be a generalization of the well-known Spivey's Bell number. Moreover, several other identities generalizing Spivey's Bell number formula are obtained.

math.CO↗