Extended Bell and Stirling numbers from hypergeometric exponentiation
组合数学
2007-05-23 v1
摘要
Exponentiating the hypergeometric series gives a recursion relation for integer sequences which are generalizations of conventional Bell numbers. The corresponding associated Stirling numbers of the second kind are also generated and investigated. For the lowest order generalisation, one can give a combinatorial interpretation of these 'Bell' numbers, and of some Stirling numbers associated with them. We also consider these analogues of Bell numbers in the case of restricted partitions.
关键词
引用
@article{arxiv.math/0106123,
title = {Extended Bell and Stirling numbers from hypergeometric exponentiation},
author = {J. -M. Sixdeniers and K. A. Penson and A. I. Solomon},
journal= {arXiv preprint arXiv:math/0106123},
year = {2007}
}
备注
12 pages, Latex. Journal of Integer Sequences (in press)