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The Cauchy numbers. (English) Zbl 1098.05008

Summary: We study many properties of Cauchy numbers in terms of generating functions and Riordan arrays and find several new identities relating these numbers with Stirling, Bernoulli and harmonic numbers. We also reconsider the Laplace summation formula showing some applications involving the Cauchy numbers.

MSC:

05A15 Exact enumeration problems, generating functions
05A10 Factorials, binomial coefficients, combinatorial functions
11B68 Bernoulli and Euler numbers and polynomials
11B73 Bell and Stirling numbers
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