Series of Bessel and Kummer-Type Functions
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the
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Árpád Baricz Dragana Jankov Maširević Tibor K. Pogány
Series of Bessel and Kummer-Type Functions
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Zurich Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Árpád Baricz • Dragana Jankov Maširevi´c • Tibor K. Pogány
Series of Bessel and Kummer-Type Functions
123
Árpád Baricz John von Neumann Faculty of Informatics Institute of Applied Mathematics Óbuda University Budapest, Hungary
Dragana Jankov Maširevi´c Department of Mathematics Josip Juraj Strossmayer University of Osijek Osijek, Croatia
Department of Economics Babe¸s–Bolyai University Cluj–Napoca, Romania Tibor K. Pogány Faculty of Maritime Studies University of Rijeka Rijeka, Croatia John von Neumann Faculty of Informatics Institute of Applied Mathematics Óbuda University Budapest, Hungary
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-319-74349-3 ISBN 978-3-319-74350-9 (eBook) https://doi.org/10.1007/978-3-319-74350-9 Library of Congress Control Number: 2018932413 Mathematics Subject Classification (2010): 40A30, 40C10, 33C10, 33C15, 41A30 © Springer International Publishing AG, part of Springer Nature 2017 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 the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Dedicated to Agata, Boróka, Dunja, Kati, Koppány, Nikola, and Sanja
Preface
The summation of series of special funct
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