Riordan arrays, orthogonal polynomials as moments, and Hankel transforms

Barry, Paul Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Journal of Integer Sequences. (Submitted)

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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
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 21 Jan 2011 13:02
Last Modified: 22 Aug 2016 10:26
URI: http://repository.wit.ie/id/eprint/1626

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