Transcription of COMPLEX ANALYSIS - UNAM
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COMPLEX ANALYSIS - UNAM
COMPLEX ANALYSIS An Introduction to the Theory of Analytic Functions of One COMPLEX Variable Third Edition Lars V. Ahlfors Professor of Mathematics, Emeritus Harvard University McGraw-Hill, Inc. New York St. Louis San Francisco Auckland Bogota Caracas Lisbon London Madrid Mexico City Milan Montreal New Delhi San Juan Singapore Sydney Tokyo Toronto COMPLEX ANALYSIS Copyright 1979, 1966 by McGraw-Hill, Inc. All rights reserved. Copyright 1953 by McGraw-Hill, Inc. All rights reserved. Printed in the United States of America. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher.
CHAPTER 5 SERIES AND PRODUCT DEVELOPMENTS 175 1 Power Series Expansions 1.1 Weierstrass's Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling's Formula 175 175 179 184 187 187 191 193 198 201 . x ...
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