Four-term recurrences, orthogonal polynomials and Riordan arrays

Barry, Paul and Hennessy, Aoife (2012) Four-term recurrences, orthogonal polynomials and Riordan arrays. Journal of Integer Sequences, 15 (4). ISSN 1530-7638

Full text not available from this repository. (Request a copy)

Abstract

We study constant coefficient four term recurrences for polynomials, in analogy to the three-term recurrences that are associated with orthogonal polynomials. We show that for a family of polynomials obeying such a four-term recurrence, the coefficient array is an ordinary Riordan array of a special type, and vice versa. In certain cases, it is possible to transform these polynomials into related orthogonal polynomials. We characterize the form of the production matrices of the inverse coefficient arrays.

Item Type:	Article
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:03
Last Modified:	08 Feb 2023 19:38
URI:	http://repository-testing.wit.ie/id/eprint/3816

Actions (login required)

View Item