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Orthogonal Polynomials and their Applications

Proceedings of an International Symposium held in Segovia, Spain, Sept. 22-27, 1986

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Manuel Alfaro
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  2. Jesús S. Dehesa
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  3. Francisco J. Marcellan
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  4. José L. Rubio de Francia
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  5. Jaime Vinuesa
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1329)

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Table of contents (23 papers)

  1. Front Matter

    Pages I-XV
    Download chapter PDF

  2. Error estimate in pade approximation

    • Claude Brezinski
    Pages 1-19

  3. Orthogonal polynomials in monotone and convex interpolation

    • Alan Edelman, Charles A. Micchelli
    Pages 20-31

  4. Polynomials orthogonal with respect to singular continuous measures

    • J. S. Geronimo
    Pages 32-45

  5. Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials

    • Tom H. Koornwinder
    Pages 46-72

  6. A review of orthogonal polynomials satisfying boundary value problems

    • Allan M. Krall
    Pages 73-97

  7. Orthogonal polynomial solutions to ordinary and partial differential equations

    • L. L. Littlejohn
    Pages 98-124

  8. Rational approximations, orthogonal polynomials and equilibrium distributions

    • G. López, E. A. Rakhmanov
    Pages 125-157

  9. Factorization of second order difference equations and its application to orthogonal polynomials

    • Attila Máté, Paul Nevai
    Pages 158-177

  10. Gauss quadrature for analytic functions

    • T. J. Rivlin
    Pages 178-192

  11. On the Geronimus polynomial sets

    • W. A. Al-Salam, A. Verma
    Pages 193-202

  12. The bounds for the error term of an asymptotic approximation of Jacobi polynomials

    • Paola Baratella, Luigi Gatteschi
    Pages 203-221

  13. The distribution of zeros of the polynomial eigenfunctions of ordinary differential operators of arbitrary order

    • E. Buendia, J. S. Dehesa, F. J. Galvez
    Pages 222-235

  14. Orthogonal polynomials and jump modifications

    • M. A. Cachafeiro, F. Marcellán
    Pages 236-240

  15. Electrostatic interpretation of zeros

    • E. Hendriksen, H. van Rossum
    Pages 241-250

  16. Associated dual Hahn polynomials

    • Mourad E. H. Ismail, Jean Letessier, Galliano Valent
    Pages 251-254

  17. Szego's Theorem for polynomials orthogonal with respect to varying measures

    • G. López
    Pages 255-260

  18. Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials

    • Alphonse P. Maqnus
    Pages 261-278

  19. Le calcul des formes lineaires et les polynômes orthogonaux semi-classioues

    • Pascal Maroni
    Pages 279-290

  20. The Lp minimality and near-minimality of orthogonal polynomial approximation and integration methods

    • J. C. Mason
    Pages 291-299
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Keywords

About this book

The Segovia meeting set out to stimulate an intensive exchange of ideas between experts in the area of orthogonal polynomials and its applications, to present recent research results and to reinforce the scientific and human relations among the increasingly international community working in orthogonal polynomials. This volume contains original research papers as well as survey papers about fundamental questions in the field (Nevai, Rakhmanov & López) and its relationship with other fields such as group theory (Koornwinder), Padé approximation (Brezinski), differential equations (Krall, Littlejohn) and numerical methods (Rivlin).

Bibliographic Information

  • Book Title: Orthogonal Polynomials and their Applications

  • Book Subtitle: Proceedings of an International Symposium held in Segovia, Spain, Sept. 22-27, 1986

  • Editors: Manuel Alfaro, Jesús S. Dehesa, Francisco J. Marcellan, José L. Rubio de Francia, Jaime Vinuesa

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083349

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-19489-7Published: 13 July 1988

  • eBook ISBN: 978-3-540-39295-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CCCLVI, 338

  • Topics: Numerical Analysis, Analysis, Statistics, general

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