Orthogonal Polynomials and their Applications

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
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 1329)

Table of contents

  1. Front Matter
    Pages I-XV
    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

About these proceedings

Introduction

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).

Keywords

algebra differential equation minimum numerical methods orthogonal polynomials

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0083349
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-19489-7
  • Online ISBN 978-3-540-39295-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site