Classical and semi-classical orthogonal polynomials defined by riordan arrays, and their moment sequences

Barry, Paul and Mwafise, Arnauld Mesinga (2017) Classical and semi-classical orthogonal polynomials defined by riordan arrays, and their moment sequences. Journal of Integer Sequences, 21 (1). pp. 1-40. ISSN 1530-7638

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Abstract

We study the orthogonal polynomials of classical and semi-classical types that can be defined by ordinary and exponential Riordan arrays. We identify their moment sequences, giving their integral representations and Hankel transforms. For a special class of classical orthogonal polynomials defined by Riordan arrays, we identify a complementary family of orthogonal polynomials defined by reversion of moment sequences. Special product sequences arise and their generating functions are calculated.

Item Type: Article
Additional Information: Publisher Copyright: © 2018, University of Waterloo. All Rights reserved.
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:03
Last Modified: 08 Feb 2023 19:38
URI: http://repository-testing.wit.ie/id/eprint/3762

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