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arXiv · 1709.08000

Spivey's Bell Number Formula Revisited

Mahid M. Mangontarum
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Abstract

This paper introduces an alternative form of the derivation of Spivey's Bell number formula which involves the $q$-Boson operators $a$ and $a^{\dagger}$. Furthermore, a similar formula for the case of the $(q,r)$-Dowling polynomials is obtained, and is shown to produce a generalization of the latter.

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Mahid M. Mangontarum. 2017-09-23. Spivey's Bell Number Formula Revisited. https://arxiv.org/abs/1709.08000

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