Sixdeniers, J. -M.; Penson, K. A. and Solomon, A. I.
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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:||Journal Article|
|Copyright Holders:||2001 The Authors|
|Extra Information:||11 pp.|
|Keywords:||integer sequences; Bell numbers; Stirling numbers; hypergeometric series|
|Academic Unit/Department:||Science > Physical Sciences
|Depositing User:||Allan Solomon|
|Date Deposited:||21 Jun 2007|
|Last Modified:||25 Feb 2016 15:45|
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