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). ISSN 1530-7638

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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 coefficients 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
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:06
Last Modified: 24 Jun 2023 23:10
URI: http://repository-testing.wit.ie/id/eprint/4104

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