Year: 2025
Type: preprint
Abstract: In this paper, we will introduce Bell numbers $D(n)$ of type $D$ as an analogue to the classical Bell numbers related to all the partitions of the set $[n]$. Then based on a signed set partition of type $D$, we will construct the recurrence relations of Bell numbers $D(n)$. In addition, we deduce the exponential generating function for $D(n)$. Finally, we will provide an explicit formula for $D(n)$.
Source: arXiv (Cornell University)
Authors: Arslan, Hasan, Alemdar, Nazmiye, Zaarour, Mariam, Altındiş, Hüseyin
Institution: Erciyes University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415066076
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