Riordan arrays, orthogonal polynomials as moments, and Hankel transforms

Barry, Paul (2011) Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Journal of Integer Sequences, 14 (2). ISSN 1530-7638

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Abstract

Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials in terms of their associated Riordan arrays. We use these means to calculate the Hankel transforms of the associated polynomial sequences.

Item Type:	Article
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:06
Last Modified:	03 Aug 2023 19:15
URI:	http://repository-testing.wit.ie/id/eprint/4078

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