On Some Numbers Related to the Bell Numbers
- 1 February 1975
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 17 (5) , 733-738
- https://doi.org/10.4153/cmb-1974-132-8
Abstract
The Bell numbersBncan be defined by Bn=whereS(n, k)is t n e Stirling number of the second kind. In this note we employ a technique developed by Rota (which formalizes the umbral calculus) to derive a veriety of facts concerning the related numbersand polynomials.Keywords
This publication has 4 references indexed in Scilit:
- A probabilistic interpretation of Eulerian numbersDuke Mathematical Journal, 1973
- The Number of Partitions of a SetThe American Mathematical Monthly, 1964
- Preferential ArrangementsThe American Mathematical Monthly, 1962
- Studien über die Bernoullischen und Eulerschen Zahlen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1883