Article ID Journal Published Year Pages File Type
4595029 Journal of Number Theory 2008 13 Pages PDF
Abstract

By observing that the infinite triangle obtained from some generalized harmonic numbers follows a Riordan array, we obtain very simple connections between the Stirling numbers of both kinds and other generalized harmonic numbers. Further, we suggest that Riordan arrays associated with such generalized harmonic numbers allow us to find new generating functions of many combinatorial sums and many generalized harmonic number identities.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory