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Cubic Decomposition of 2-Orthogonal Polynomial Sequences

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Abstract

In the present work, we study the general cubic decomposition (CD) of a 2-orthogonal polynomial sequence, beginning with a characterization of all the elements involved in such CD. The recurrence coefficients of the 2-orthogonal sequences which admit a diagonal CD are described and we prove that the correspondent principal components are also 2-orthogonal. Finally, we analyse the CD of a 2-symmetric and 2-orthogonal sequence.

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Correspondence to Teresa A. Mesquita.

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Maroni, P., Mesquita, T.A. Cubic Decomposition of 2-Orthogonal Polynomial Sequences. Mediterr. J. Math. 10, 843–863 (2013). https://doi.org/10.1007/s00009-012-0223-3

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  • DOI: https://doi.org/10.1007/s00009-012-0223-3

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