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Generalized Harmonic Numbers with Riordan Arrays
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cheon, Gi-Sang El-Mikkawy, Moawwad E. A. |
| Copyright Year | 2008 |
| 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. |
| Starting Page | 413 |
| Ending Page | 425 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jnt.2007.08.011 |
| Volume Number | 128 |
| Alternate Webpage(s) | http://users.dimi.uniud.it/~giacomo.dellariccia/Table%20of%20contents/Cheon%20G-S.El-Mikkawy2008.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jnt.2007.08.011 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |