Orthogonal Polynomials and Special Functions Computation and Applica
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions
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Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris
1883
F. Marcellán · W.Van Assche (Eds.)
Orthogonal Polynomials and Special Functions Computation and Applications
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Editors Francisco Marcellán Departamento de Matemáticas Universidad Carlos III de Madrid Avenida de la Universidad 30 28911 Leganés Spain e-mail: [email protected]
Walter Van Assche Department of Mathematics Katholieke Universiteit Leuven Celestijnenlaan 200B 3001 Leuven Belgium e-mail: [email protected]
Library of Congress Control Number: 2006923695 Mathematics Subject Classification (2000): 33C45, 33C50, 33E17, 33F05, 42C05, 41A55 65E05, 65F15, 65F25 ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 ISBN-10 3-540-31062-2 Springer Berlin Heidelberg New York ISBN-13 978-3-540-31062-4 Springer Berlin Heidelberg New York DOI 10.1007/b128597
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543210
Preface
These are the lecture notes of the fifth European summer school on Orthogonal Polynomials and Special Functions, which was held at the Universidad Carlos III de Madrid, Legan´es, Spain from July 8 to July 18, 2004. Previous summer schools were in Laredo, Spain (2000) [1], Inzell, Germany (2001) [2], Leuven, Belgium (2002) [3] and Coimbra, Portugal (2003) [4]. These summer schools are intended for young researchers preparing a doctorate or Ph.D. and postdocs working in the area of special functions. For this edition we were happy to have eight invited speakers who gave a series of lectures on a subject for which they are internationally known experts. Seven of these lectures are collected in this volume. The lecture of J. S. Geronimo on WKB and turning point theory for second order difference equations has been published els
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