Barry, Paul (2007) On a Family of Generalized Pascal Triangles defined by Exponential Riordan Arrays. Journal of Integer Sequences, 10 (3). ISSN 1530-7638
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Official URL: http://www.cs.uwaterloo.ca/journals/JIS/VOL10/Barr...
Abstract
We introduce a family of number triangles defined by exponential Riordan arrays, which generalize Pascal’s triangle. We characterize the row sums and central coeffi- cients of these triangles, and define and study a set of generalized Catalan numbers. We establish links to the Hermite, Laguerre and Bessel polynomials, as well as links to the Narayana and Lah numbers.
| Item Type: | Article |
|---|---|
| Departments or Groups: | *NONE OF THESE* |
| Divisions: | School of Science > Department of Computing, Maths and Physics |
| Depositing User: | Paul Barry |
| Date Deposited: | 06 May 2007 23:24 |
| Last Modified: | 22 Aug 2016 10:25 |
| URI: | https://repository.wit.ie/id/eprint/315 |
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