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Cubic Decomposition of 2-Orthogonal Polynomial Sequences

MEDITERRANEAN JOURNAL OF MATHEMATICS (2013)

期刊

MEDITERRANEAN JOURNAL OF MATHEMATICS

卷 10, 期 2, 页码 843-863

出版社

SPRINGER BASEL AG

DOI: 10.1007/s00009-012-0223-3

关键词

2-orthogonal polynomials; finite-type relations; cubic decomposition

类别

Mathematics, Applied Mathematics

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Reagent

摘要

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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