On the general cubic decomposition of polynomial sequences

We present the main results about the general cubic decomposition (CD) of polynomial sequences. We deal particularly with the diagonal CD and the CD of orthogonal sequences. This allows us to generalize a result of Barrucand and Dickinson about the CD of a symmetric orthogonal sequence.

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Bibliographic Details
Published in:	Journal of difference equations and applications Vol. 17; no. 9; pp. 1303 - 1332
Main Authors:	Maroni, P., Mesquita, T. A., da Rocha, Z.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis Group 01-09-2011 Taylor & Francis Ltd
Subjects:	cubic decomposition Decomposition Difference equations Differential equations finite-type relations linear functionals orthogonal polynomials Polynomials
Online Access:	Get full text
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Description
Summary:	We present the main results about the general cubic decomposition (CD) of polynomial sequences. We deal particularly with the diagonal CD and the CD of orthogonal sequences. This allows us to generalize a result of Barrucand and Dickinson about the CD of a symmetric orthogonal sequence.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	1023-6198 1563-5120
DOI:	10.1080/10236190903527236