Complex Analysis I Entire and Meromorphic Functions Polyanalytic Fun
The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions, methods and results on the growth of entire functions an
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Editor-in-Chief: R. V. Gamkrelidze
Springer-Verlag Berlin Heidelberg GmbH
A. A. Gonchar V. P. Havin N.K.Nikolski (Eds.)
Complex Analysis I Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations
Springer
Consulting Editors of the Series: A.A. Agrachev, A.A. Gonchar, E.F. Mishchenko, N.M. Ostianu, V.P. Sakharova, A.B. Zhishchenko
Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, Vol. 85, Kompleksnyj Analiz. Odna Peremennaya - 1, Publisher VINITI, Moscow 1991
Mathematics Subject Classification (1991): 30-02, 30Dxx, 30G30
ISSN 0938-0396 ISBN 978-3-642-08127-9 ISBN 978-3-662-03396-8 (eBook) DOI 10.1007/978-3-662-03396-8 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Sprioger-Vedag Berlin Heidelbelg GmbH. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1997 Originally published by Springer-Verlag Berlin Heidelberg New York in 1997 Softcover reprint ofthe hardcover 1st edition 1997
Typesetting: Camera-ready copy produced from the translators ' input files using a Springer TEX rnacro package. SPIN 10031265 4113143 - 5 4 3 2 I 0 - Printed on acid-free paper
BORIS YAKOVLEVICH LEVIN Professor Boris Yakovlevich Levin (22 December 1906-24 August 1993) did not live to see the English edition of this work appear. His works in the theory of entire functions are considered to be classics, and are reflected in much of this survey; we are unable to convey here the impact of his works in other areas of mathematics. We were greatly influenced by Professor B. Ya. Levin throughout our scientific careers and in particular when working on this text. We dedicate it to the memory of our teacher and friend, B. Ya. Levin, whose passing leaves a great void in the mathematical community.
A. A. GoI'dberg I. V. Ostrovskii
List of Editors, Authors and Translators Editor-in-ChieJ R. v. Gamkrelidze, Russian Academy of Sciences, Steklov Mathematical Institute, u1. Vavilova 42, 117966 Moscow; Institute for Scientific Information (VINITI), u1. Usievicha 20a, 125219 Moscow, Russia; e-mail: [email protected]
Consulting Editors A. A. Gonchar, Russian Academy of Sciences, Otdel Mathematiki, Leninskij Prospect 14, 117901 Moscow, Russia V. P. Havin, Department of Mathematics and Mechanics, S1. Petersburg State University, Stary Peterhof, 198904 S1. Petersburg, Russia, e-mail: [email protected] Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal lQC, Canada H3A 2K6; e-mail: [email protected]
