Research Problems in Function Theory Fiftieth Anniversary Edition

In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on prog

  • PDF / 3,207,741 Bytes
  • 288 Pages / 453.544 x 683.151 pts Page_size
  • 51 Downloads / 208 Views

DOWNLOAD

REPORT


Walter K. Hayman Eleanor F. Lingham

Research Problems in Function Theory Fiftieth Anniversary Edition

Problem Books in Mathematics Series Editor Peter Winkler Department of Mathematics Dartmouth College Hanover, NH USA

More information about this series at http://www.springer.com/series/714

Walter K. Hayman Eleanor F. Lingham •

Research Problems in Function Theory Fiftieth Anniversary Edition

123

Walter K. Hayman Department of Mathematics Imperial College London London, UK

Eleanor F. Lingham Department of Engineering and Mathematics Sheffield Hallam University Sheffield, South Yorkshire, UK

ISSN 0941-3502 ISSN 2197-8506 (electronic) Problem Books in Mathematics ISBN 978-3-030-25164-2 ISBN 978-3-030-25165-9 (eBook) https://doi.org/10.1007/978-3-030-25165-9 Mathematics Subject Classification (2010): 30D20, 30D30, 30D35, 32H50, 30C15, 30C55 First edition published by The Athlone Press, London, 1967, under: Hayman, W.K. © Springer Nature Switzerland AG 1967, 2019 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 zbMATH logo appearing on the back cover as well as the name “zbMATH” are registered trademarks of FIZ Karlsruhe and are used with permission. The publisher and authors acknowledge the assistance of zbMATH in the preparation of this book. 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, expressed 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. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

In 1967, the first author wrote ‘Research Problems in Function Theory’, which was published by the Athlone Press of the University of London. There had been earlier problem collections by Littlewood [678] and by Erdős [299] in the 1960s. Subsequent additions to the 1967 booklet were [504], [505], [36], [180], [86] and [156]. It was the idea of the second author to give an account of the progress that has been made on these problems in th