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 (9). pp. 1-34. ISSN 1530-7638

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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 polynomi- als, which includes the Boubaker polynomials, and a scaled version of the Chebyshev polynomials, using the techniques of Riordan arrays. We classify these polynomials in terms of the Chebyshev polynomials of the first and second kinds. We also exam- ine the Hankel transforms of sequences associated with the inverse of the polynomial coefficient arrays, including the associated moment 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:	02 Jul 2023 19:40
URI:	http://repository-testing.wit.ie/id/eprint/4031

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