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 (8). ISSN 1530-7638

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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
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:01
Last Modified:	07 Feb 2023 00:01
URI:	http://repository-testing.wit.ie/id/eprint/3656

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