Spivey's Bell Number Formula Revisited (1709.08000v3)

Published 23 Sep 2017 in math.NT and math.CO

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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Authors (1)

Mahid M. Mangontarum

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