On a Family of Generalized Pascal Triangles defined by Exponential Riordan Arrays

Barry, Paul (2007) On a Family of Generalized Pascal Triangles defined by Exponential Riordan Arrays. Journal of Integer Sequences, 10 (3).

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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: http://repository.wit.ie/id/eprint/315

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