Sums of products of Cauchy numbers

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In this paper, we consider a kind of sums involving Cauchy numbers, which have not been studied in the literature. By means of the method of coefficients, we give some properties of the sums. We further derive some recurrence relations and establish a series of identities involving the sums, Stirling numbers, generalized Bernoulli numbers, generalized Euler numbers, Lah numbers, and harmonic numbers. In particular, we generalize some relations between two kinds of Cauchy numbers and some identities for Cauchy numbers and Stirling numbers. © 2008 Elsevier B.V. All rights reserved.




Zhao, F. Z. (2009). Sums of products of Cauchy numbers. Discrete Mathematics, 309(12), 3830–3842.

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