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Padé Approximation and its Applications pp 150–171Cite as

Recurrence coefficients for orthogonal polynomials on connected and non-connected sets

  • A. Mathematical Aspects Of Padé Approximants And Their Generalizations
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 765))

Abstract

General methods for relating the asymptotic behaviour of the recurrence coefficients of orthogonal polynomials and properties of the corresponding weight functions are described and discussed. The cases of a function with algebraic singularities on a single bounded interval and a function positive on a finite set of bounded intervals are studied. Application to weight function reconstruction from moments is considered.

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References

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Authors and Affiliations

  1. Institut mathématique U.C.L., Chemin du Cyclotron, 2, B-1348, Louvain-La-Neuve, Belgique

    Alphonse Magnus

Authors
  1. Alphonse Magnus
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Luc Wuytack

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© 1979 Springer-Verlag

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Magnus, A. (1979). Recurrence coefficients for orthogonal polynomials on connected and non-connected sets. In: Wuytack, L. (eds) Padé Approximation and its Applications. Lecture Notes in Mathematics, vol 765. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085579

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  • DOI: https://doi.org/10.1007/BFb0085579

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09717-4

  • Online ISBN: 978-3-540-38511-0

  • eBook Packages: Springer Book Archive

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