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.
2006
306
1906
1920
D. MERLINI; R. SPRUGNOLI; M.C. VERRI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/310484
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