Meixner-type results for Riordan arrays and associated integer sequences

Barry, Paul and Hennessy, Aoife (2010) Meixner-type results for Riordan arrays and associated integer sequences. Journal of Integer Sequences, 13. ISSN 1530-7638

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Official URL: http://www.cs.uwaterloo.ca/journals/JIS/VOL13/Barr...

Abstract

We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal polynomials. In so doing, we are led to introduce a family of polynomials, which includes the Boubaker polynomials, and a scaled version of the Chebyshev poynomials, using the techniques of Riordan arrays. We classify these polynomials in terms of the Chebyshev polynomials of the first and second kinds. We also examine the Hankel transforms of sequences associated to the inverse of the polynomial coefficient arrays, including the associated moment 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/1628

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