Recurrences of Stirling and Lah numbers via second kind Bell polynomial. (English) Zbl 1463.11058
Summary: In the paper, by virtue of several explicit formulas for special values and a recurrence of the Bell polynomials of the second kind, the authors derive several recurrences for the Stirling numbers of the first and second kinds, for 1-associate Stirling numbers of the second kind, for the Lah numbers, and for the binomial coefficients.
MSC:
| 11B65 | Binomial coefficients; factorials; \(q\)-identities |
| 11B73 | Bell and Stirling numbers |
| 11B83 | Special sequences and polynomials |
Keywords:
recurrence; Bell polynomial of the second kind; Stirling number; 1-associate Stirling number of the second kind; Lah numberReferences:
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