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Asymptotic estimates for \(r\)-Whitney numbers of the second kind. (English) Zbl 1406.11020

Summary: The \(r\)-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. In this paper, asymptotic formulas for \(r\)-Whitney numbers of the second kind with integer and real parameters are obtained and the range of validity of each formula is established.

MSC:

11B83 Special sequences and polynomials
11B73 Bell and Stirling numbers