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Recurrence relations for Nörlund numbers and Bernoulli numbers of the second kind. (English) Zbl 1222.11030
Summary: Known recurrence relations for the Nörlund numbers and the Bernoulli numbers of the second kind are generalized to infinite classes of recurrence relations. The Stirling numbers of the first kind occur in all these recurrences. Some of the relations are of arbitrary length and contain explicit formulas as special cases. A convolution formula for Stirling numbers of the first kind is also obtained.
MSC:
11B68Bernoulli and Euler numbers and polynomials
11B73Bell and Stirling numbers
05A15Exact enumeration problems, generating functions