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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.

05A15Exact enumeration problems, generating functions
05A10Combinatorial functions
11B68Bernoulli and Euler numbers and polynomials
11B73Bell and Stirling numbers
Full Text: DOI
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