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Sixdeniers, J. -M.; Penson, K. A. and Solomon, A. I.
(2001).
URL: http://www.cs.uwaterloo.ca/journals/JIS/VOL4/SIXDE...
Abstract
Exponentiating the hypergeometric series 0FL(1,1,...,1;z), L = 0,1,2,..., furnishes a recursion relation for the members of certain integer sequences bL(n), n = 0,1,2,.... For L >= 0, the bL(n)'s are generalizations of the conventional Bell numbers, b0(n). The corresponding associated Stirling numbers of the second kind are also investigated. For L = 1 one can give a combinatorial interpretation of the numbers b1(n) and of some Stirling numbers associated with them. We also consider the L>1 analogues of Bell numbers for restricted partitions.
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About
- Item ORO ID
- 8160
- Item Type
- Journal Item
- ISSN
- 1530-7638
- Extra Information
- 11 pp.
- Keywords
- integer sequences; Bell numbers; Stirling numbers; hypergeometric series
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2001 The Authors
- Depositing User
- Allan Solomon