超几何幂运算的推广Bell数和Stirling数
Extended Bell and Stirling numbers from hypergeometric exponentiation
摘要：
对超几何级数进行指数化，给出了整数序列的一个递推关系，它是传统Bell数的推广。相应的第二类关联斯特林数也产生和调查。对于最低阶的推广，人们可以给出这些“贝尔”数的组合解释，以及与它们相关的一些斯特林数。我们也考虑这些类似的贝尔数的情况下，限制分区。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
