Sixdeniers, J. -M.; Penson, K. A. and Solomon, A. I.
(2001).
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| URL: | http://www.cs.uwaterloo.ca/journals/JIS/VOL4/SIXDE... |
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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.
| Item Type: | Article |
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| Copyright Holders: | 2001 The Authors |
| ISSN: | 1530-7638 |
| Extra Information: | 11 pp. |
| Keywords: | integer sequences; Bell numbers; Stirling numbers; hypergeometric series |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Item ID: | 8160 |
| Depositing User: | Allan Solomon |
| Date Deposited: | 21 Jun 2007 |
| Last Modified: | 05 Oct 2016 20:07 |
| URI: | http://oro.open.ac.uk/id/eprint/8160 |
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