Journal of Integer Sequences, Vol. 21 (2018), Article 18.1.1

Spivey's Bell Number Formula Revisited

Mahid M. Mangontarum
Department of Mathematics
Mindanao State University--Main Campus
Marawi City 9700


This paper introduces an alternative form of the derivation of Spivey's Bell number formula, which involves the q-Boson operators a and a. 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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(Concerned with sequences A000110 A003575 A008275 A008277.)

Received September 23 2017; revised version received November 27 2017. Published in Journal of Integer Sequences, December 20 2017.

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