Stirling number representations. (English) Zbl 1086.05008

Summary: Stirling numbers of the first and second kinds, \(s(n,k)\) and \(S(n,k)\), may be defined by means of recurrence relations together with a set of initial values. This paper discusses the ambiguities that arise within this prescription when \(n\) takes negative values.


05A15 Exact enumeration problems, generating functions
11B73 Bell and Stirling numbers
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