On the Connection Coefficients of the Chebyshev-Boubaker Polynomials

On the Connection Coefficients of the Chebyshev-Boubaker Polynomials

The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials. We study the connection coefficients of this class of orthogonal polynomials,...

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Main Author: Paul Barry
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/657806
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spelling doaj-0524d8afa3fd48279d4c4de16eb9679d2020-11-25T00:53:46ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/657806657806On the Connection Coefficients of the Chebyshev-Boubaker PolynomialsPaul Barry0School of Science, Waterford Institute of Technology, Waterford, IrelandThe Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials. We study the connection coefficients of this class of orthogonal polynomials, indicating how Riordan array techniques can lead to closed-form expressions for these connection coefficients as well as recurrence relations that define them.http://dx.doi.org/10.1155/2013/657806
collection DOAJ
language English
format Article
sources DOAJ
author Paul Barry
spellingShingle Paul Barry
On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
The Scientific World Journal
author_facet Paul Barry
author_sort Paul Barry
title On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
title_short On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
title_full On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
title_fullStr On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
title_full_unstemmed On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
title_sort on the connection coefficients of the chebyshev-boubaker polynomials
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials. We study the connection coefficients of this class of orthogonal polynomials, indicating how Riordan array techniques can lead to closed-form expressions for these connection coefficients as well as recurrence relations that define them.
url http://dx.doi.org/10.1155/2013/657806
work_keys_str_mv AT paulbarry ontheconnectioncoefficientsofthechebyshevboubakerpolynomials
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