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Zbl 1191.05008
Zhao, Feng-Zhen
Sums of products of Cauchy numbers. (English)
[J] Discrete Math. 309, No. 12, 3830-3842 (2009). ISSN 0012-365X

In the book of {\it L. Comtet} [Advanced combinatorics. The art of finite and infinite expansions. Dordrecht / Boston, D. Reidel Publishing Company. (1974; Zbl 0283.05001)], two kinds of Cauchy numbers are introduced. The present author studies sums of products of these numbers, which have not been studied earlier, by the method of coefficients. Among other results, he derives identities involving these sums and various numbers: Stirling, generalized Bernoulli, generalized Euler, Lah, and harmonic.
[Andreas N. Philippou (Patras)]

MSC 2000:: *05A15 Combinatorial enumeration problems
11B68 Bernoulli numbers, etc.

Keywords: Cauchy numbers; Stirling numbers; harmonic numbers; Lah numbers; generating functions; recurrence relations; asymptotic expansion

Citations: Zbl 0283.05001

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