Asymptotics of Orthonormal Polynomials
We establish asymptotics of orthonormal polynomials on and off the interval of orthogonality, as well as their derivatives and leading coefficients. In addition we present asymptotics for spacing of their zeros, and asymptotics of their Christoffel functi
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Eli Levin Doron S. Lubinsky
Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights 123
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Eli Levin • Doron S. Lubinsky
Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights
123
Research supported by NSF grant DMS136208
Eli Levin Department of Mathematics Open University of Israel Tel-Aviv, Israel
Doron S. Lubinsky Mathematics Georgia Institution of Technology Atlanta, Georgia, USA
ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-319-72946-6 ISBN 978-3-319-72947-3 (eBook) https://doi.org/10.1007/978-3-319-72947-3 Library of Congress Control Number: 2017963056 Mathematics Subject Classification: 42C05, 41A17, 30C15, 30E15, 31A15 © The Author(s) 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Acknowledgement
The authors thank Annette Rohrs for her meticulous care in preparing the manuscript, and Danielle Walker and Donna Chernyk for their prompt and efficient handling of the process.
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Contents
1
Introduction .
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