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.
The Cauchy numbers / D. MERLINI; R. SPRUGNOLI; M.C. VERRI. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 306:(2006), pp. 1906-1920. [10.1016/j.disc.2006.03.065]
The Cauchy numbers
MERLINI, DONATELLA;SPRUGNOLI, RENZO;VERRI, MARIA CECILIA
2006
Abstract
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.File in questo prodotto:
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