Generalized Stirling numbers, exponential Riordan arrays and orthogonal polynomials

Hennessy, Aoife and Barry, Paul (2011) Generalized Stirling numbers, exponential Riordan arrays and orthogonal polynomials. Journal of Integer Sequences, 14. 11.8.2. ISSN 1530-7638

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Official URL: https://cs.uwaterloo.ca/journals/JIS/

Abstract

We define a generalization of the Stirling numbers of the second kind, which depends on two parameters. The matrices of integers that result are exponential Riordan arrays. We explore links to orthogonal polynomials by studying the production matrices of these Riordan arrays. Generalized Bell numbers are also defined, again depending on two parameters, and we determine the Hankel transform of these numbers.

Item Type: Article
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 19 Nov 2012 15:55
Last Modified: 22 Aug 2016 10:26
URI: http://repository.wit.ie/id/eprint/2112

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