Orthogonal Polynomials and their Applications Proceedings of an Inte
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 increasing
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1329 M. Alfaro J. S. Dehesa F. J. Marcellan J. L. Rubio de Francia J. Vinuesa (Eds.)
Orthogonal Polynomials and their Applications Proceedings of an International Symposium held in Segovia, Spain, Sept. 22-27, 1986
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Manuel Alfaro Departamento de Matematicas, Universidad de Zaragoza 50009 Zaragoza, Spain Jesus S. Dehesa Departamento de Hsica Medema, Universidad de Granada 18071 Granada, Spain Francisco J. Marcellan Departamento de Maternatica Aplicada, E.T.S. de Ingenieros Industriales 28006 Madrid, Spain Jose L. Rubio de Francia t Departamento de Matematicas, Universidad Aut6noma de Madrid 28049 Madrid, Spain Jaime Vinuesa Departamento de Maternaticas, Universidad de Cantabria 39080 Santander, Spain
Mathematics Subject Classification (1980): Primary: 42C05, 33A65 Secondary: 40A30, 39A 10, 40A 15,41 A55, 41 A60, 60J80, 12D 10 ISBN 3-540-19489-4 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-19489-4 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1988 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
This volume is dedicated to the memory of Jose Luis Rubio de Francia, Professor of Mathematics of the Autonomous University of Madrid, who died on February 1988. His death is a great loss to his country, to science and education, and to his many friends. We wish to record here our profound sense of loss. We hope that the completed volume is faithful to his vision of a book that not only instructs but also inspires.
INTRODUCTION The present volume contains the Proceedings of the Second International Symposium on Orthogonal Polynomials and Their Applications held in Segovia, Spain, 22 n d to 27 t h, 1986. This Symposium continues the idea born at BarleDuc (France) on the occasion of the 150th anniversary of Edmond Nicolas Laguerre's birthday. It intends to present a comprehensive view of the main achievements, fundamentals and working problems of the orthogonal polynomials and its relationship with other mathematical fields and applied sciences. The core of the Symposium was a series of ten invited lectures, each covering some of the more fundamental aspects. In addition, there were 60 halfhour communications, including particular aspects of orthogonal polynomials on the real line and over the complex plane, special functions, orthogonal expansions and numerical methods. A special session devoted t
