Journal of Discrete Mathematics
Volume 2013 (2013), Article ID 373927, 10 pages
Sums of Products of Cauchy Numbers, Including Poly-Cauchy Numbers
Graduate School of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan
Received 24 July 2012; Accepted 24 October 2012
Academic Editor: Gi Sang Cheon
Copyright © 2013 Takao Komatsu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate sums of products of Cauchy numbers including poly-Cauchy numbers: . A relation among these sums shown in the paper and explicit expressions of sums of two and three products (the case of and that of described in the paper) are given. We also study the other three types of sums of products related to the Cauchy numbers of both kinds and the poly-Cauchy numbers of both kinds.