Sums of products of Cauchy numbers

25Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

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.

Cite

CITATION STYLE

APA

Zhao, F. Z. (2009). Sums of products of Cauchy numbers. Discrete Mathematics, 309(12), 3830–3842. https://doi.org/10.1016/j.disc.2008.10.013

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free