Holdings: Uniqueness theory of meromorphic functions

Uniqueness theory of meromorphic functions:

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Bibliographic Details
Main Authors:	Yang, Chung-Chun 1942- (Author), Yi, Hong-Xun (Author)
Format:	Book
Language:	English
Published:	Beijing [u.a.] Science Press [u.a.] 2003
Series:	Mathematics and its applications 557
Subjects:	Fonctions méromorphes Functions, Meromorphic Meromorphe Funktion
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 569 S.
ISBN:	1402014481 7030084519

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MARC


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adam_text	UNIQUENESS THEORY OF MEROMORPHIC FUNCTIONS BY CHUNG-CHUN YANG DEPARTMENT OF MATHEMATICS THE HONG KONG UNIVERSITY OF SCIENCE & TECHNOLOGY HONG KONG, CHINA HONG-XUN YI DEPARTMENT OF MATHEMATICS SHANDONG UNIVERSITY JINAN, SHANDONG, CHINA SCIENCE PRESS BEIJING/NEW YORK, KLUWER ACADEMIC PUBLISHERS DORDRECHT/BOSTON/LONDON CONTENTS PREFACE VII CHAPTER 1 BASIC NEVANLINNA THEORY 1 1.1 THE FIRST FUNDAMENTAL THEOREM 1 1.2 THE SECOND FUNDAMENTAL THEOREM 13 1.3 THE CHARACTERISTIC FUNCTION AND THE ORDER 26 1.4 THE COMBINATION OF DERIVATIVES 36 1.5 GENERALIZATIONS OF THE SECOND FUNDAMENTAL THEOREM . 50 1.6. MEROMORPHIC FUNCTIONS WITH TWO PICARD EXCEPTIONAL VALUES 61 1.7 COMBINATIONS OF MEROMORPHIC FUNCTIONS 70 CHAPTER 2 UNICITY OF FUNCTIONS OF FINITE (LOWER) ORDER 96 2.1 HADAMARD S FACTORIZATION THEOREM . . 96 2.2 UNICITY OF MEROMORPHIC FUNCTIONS OF ORDER 1 108 2.3 FUNCTIONS OF FINITE NON-INTEGER (LOWER) ORDER 113 2.4 UNICITY OF ENTIRE FUNCTIONS WITH FINITE (LOWER) ORDER 124 2.5 TAYLOR EXPANSIONS OF ENTIRE FUNCTIONS WITH FINITE ORDER 146 CHAPTER 3 FIVE-VALUE, MULTIPLE VALUE AND UNIQUENESS 156 3.1 NEVANLINNA S FIVE-VALUE THEOREM 156 3.2 LO YANG S METHOD 171 3.3 MULTIPLE VALUES AND UNIQUENESS 179 3.4 UNICITY OF MEROMORPHIC FUNCTIONS OF CLASS A 192 3.5 SOME GENERAL THEOREMS ON MULTIPLE VALUE AND UNICITY 202 CHAPTER 4 THE FOUR-VALUE THEOREM 215 4.1 NEVANLINNA S FOUR-VALUE THEOREM 215 4.2 3CM + 1IM VALUES THEOREM 224 4.3 2CM + 2IM VALUES THEOREM 231 4.4 DM THEOREMS FOR ENTIRE FUNCTIONS 248 4.5 4DM THEOREM 253 VI I CONTENTS CHAPTER 5 FUNCTIONS SHARING THREE COMMON VALUES 273 5.1 NEVANLINNA S THREE-VALUE THEOREM 273 5.2 DEFICIENT VALUES AND UNICITY 281 5.3 UNICITY OF PERIODIC OR EVEN FUNCTIONS 295 5.4 UNICITY OF SOLUTIONS OF DIFFERENTIAL EQUATIONS 300 5.5 THE RELATIONSHIP BETWEEN THE CHARACTERISTICS 308 5.6 MOBIUS TRANSFORMATION 318 CHAPTER 6 THREE-VALUE SETS OF MEROMORPHIC FUNCTIONS 338 6.1 TWO-VALUE SETS OF ENTIRE FUNCTIONS 338 6.2 THREE-VALUE SETS OF MEROMORPHIC FUNCTIONS 350 CHAPTER 7 FUNCTIONS SHARING ONE OR TWO VALUES 364 7.1 FUNCTIONS SHARING TWO COMMON VALUES 364 7.2 FUNCTIONS SHARING ONE COMMON VALUE 371 CHAPTER 8 FUNCTIONS SHARING VALUES WITH THEIR DERIVATIVES 384 8.1 ENTIRE FUNCTIONS 384 8.2 MEROMORPHIC FUNCTIONS 399 CHAPTER 9 TWO FUNCTIONS WHOSE DERIVATIVES SHARE VALUES 426 9.1 DERIVATIVES SHARING COMMON ZEROS 426 9.2 DERIVATIVES SHARING THE VALUE ONE 436 CHAPTER 10 MEROMORPHIC FUNCTIONS SHARING SETS 454 10.1 MEROMORPHIC FUNCTIONS SHARING FOUR SETS 454 10.2 MEROMORPHIC FUNCTIONS SHARING THREE SETS 469 10.3 MEROMORPHIC FUNCTIONS WITH DEFICIENT VALUES 482 10.4 MEROMORPHIC FUNCTIONS SHARING ONE OR TWO SETS 492 10.5 PREIMAGE AND IMAGE SETS OF ENTIRE FUNCTIONS 500 10.6 UNIQUE IMAGE SETS OF MEROMORPHIC FUNCTIONS 508 BIBLIOGRAPHY 533 INDEX 566
adam_txt	UNIQUENESS THEORY OF MEROMORPHIC FUNCTIONS BY CHUNG-CHUN YANG DEPARTMENT OF MATHEMATICS THE HONG KONG UNIVERSITY OF SCIENCE & TECHNOLOGY HONG KONG, CHINA HONG-XUN YI DEPARTMENT OF MATHEMATICS SHANDONG UNIVERSITY JINAN, SHANDONG, CHINA SCIENCE PRESS BEIJING/NEW YORK, KLUWER ACADEMIC PUBLISHERS DORDRECHT/BOSTON/LONDON CONTENTS PREFACE VII CHAPTER 1 BASIC NEVANLINNA THEORY 1 1.1 THE FIRST FUNDAMENTAL THEOREM 1 1.2 THE SECOND FUNDAMENTAL THEOREM 13 1.3 THE CHARACTERISTIC FUNCTION AND THE ORDER 26 1.4 THE COMBINATION OF DERIVATIVES 36 1.5 GENERALIZATIONS OF THE SECOND FUNDAMENTAL THEOREM . 50 1.6. MEROMORPHIC FUNCTIONS WITH TWO PICARD EXCEPTIONAL VALUES 61 1.7 COMBINATIONS OF MEROMORPHIC FUNCTIONS 70 CHAPTER 2 UNICITY OF FUNCTIONS OF FINITE (LOWER) ORDER 96 2.1 HADAMARD'S FACTORIZATION THEOREM . . 96 2.2 UNICITY OF MEROMORPHIC FUNCTIONS OF ORDER 1 108 2.3 FUNCTIONS OF FINITE NON-INTEGER (LOWER) ORDER 113 2.4 UNICITY OF ENTIRE FUNCTIONS WITH FINITE (LOWER) ORDER 124 2.5 TAYLOR EXPANSIONS OF ENTIRE FUNCTIONS WITH FINITE ORDER 146 CHAPTER 3 FIVE-VALUE, MULTIPLE VALUE AND UNIQUENESS 156 3.1 NEVANLINNA'S FIVE-VALUE THEOREM 156 3.2 LO YANG'S METHOD 171 3.3 MULTIPLE VALUES AND UNIQUENESS 179 3.4 UNICITY OF MEROMORPHIC FUNCTIONS OF CLASS A 192 3.5 SOME GENERAL THEOREMS ON MULTIPLE VALUE AND UNICITY 202 CHAPTER 4 THE FOUR-VALUE THEOREM ' 215 4.1 NEVANLINNA'S FOUR-VALUE THEOREM 215 4.2 3CM + 1IM VALUES THEOREM 224 4.3 2CM + 2IM VALUES THEOREM 231 4.4 DM THEOREMS FOR ENTIRE FUNCTIONS 248 4.5 4DM THEOREM 253 VI I CONTENTS CHAPTER 5 FUNCTIONS SHARING THREE COMMON VALUES 273 5.1 NEVANLINNA'S THREE-VALUE THEOREM 273 5.2 DEFICIENT VALUES AND UNICITY 281 5.3 UNICITY OF PERIODIC OR EVEN FUNCTIONS 295 5.4 UNICITY OF SOLUTIONS OF DIFFERENTIAL EQUATIONS 300 5.5 THE RELATIONSHIP BETWEEN THE CHARACTERISTICS 308 5.6 MOBIUS TRANSFORMATION 318 CHAPTER 6 THREE-VALUE SETS OF MEROMORPHIC FUNCTIONS 338 6.1 TWO-VALUE SETS OF ENTIRE FUNCTIONS 338 6.2 THREE-VALUE SETS OF MEROMORPHIC FUNCTIONS 350 CHAPTER 7 FUNCTIONS SHARING ONE OR TWO VALUES 364 7.1 FUNCTIONS SHARING TWO COMMON VALUES 364 7.2 FUNCTIONS SHARING ONE COMMON VALUE 371 CHAPTER 8 FUNCTIONS SHARING VALUES WITH THEIR DERIVATIVES 384 8.1 ENTIRE FUNCTIONS 384 8.2 MEROMORPHIC FUNCTIONS 399 CHAPTER 9 TWO FUNCTIONS WHOSE DERIVATIVES SHARE VALUES 426 9.1 DERIVATIVES SHARING COMMON ZEROS 426 9.2 DERIVATIVES SHARING THE VALUE ONE 436 CHAPTER 10 MEROMORPHIC FUNCTIONS SHARING SETS 454 10.1 MEROMORPHIC FUNCTIONS SHARING FOUR SETS 454 10.2 MEROMORPHIC FUNCTIONS SHARING THREE SETS 469 10.3 MEROMORPHIC FUNCTIONS WITH DEFICIENT VALUES 482 10.4 MEROMORPHIC FUNCTIONS SHARING ONE OR TWO SETS 492 10.5 PREIMAGE AND IMAGE SETS OF ENTIRE FUNCTIONS 500 10.6 UNIQUE IMAGE SETS OF MEROMORPHIC FUNCTIONS 508 BIBLIOGRAPHY 533 INDEX 566
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author	Yang, Chung-Chun 1942- Yi, Hong-Xun
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isbn	1402014481 7030084519
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spelling	Yang, Chung-Chun 1942- Verfasser (DE-588)131783238 aut Uniqueness theory of meromorphic functions by Chung-Chun Yang ; Hong-Xun Yi Beijing [u.a.] Science Press [u.a.] 2003 VIII, 569 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 557 Fonctions méromorphes Functions, Meromorphic Meromorphe Funktion (DE-588)4136862-9 gnd rswk-swf Meromorphe Funktion (DE-588)4136862-9 s DE-604 Yi, Hong-Xun Verfasser aut Mathematics and its applications 557 (DE-604)BV008163334 557 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014951768&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Yang, Chung-Chun 1942- Yi, Hong-Xun Uniqueness theory of meromorphic functions Mathematics and its applications Fonctions méromorphes Functions, Meromorphic Meromorphe Funktion (DE-588)4136862-9 gnd
subject_GND	(DE-588)4136862-9
title	Uniqueness theory of meromorphic functions
title_auth	Uniqueness theory of meromorphic functions
title_exact_search	Uniqueness theory of meromorphic functions
title_exact_search_txtP	Uniqueness theory of meromorphic functions
title_full	Uniqueness theory of meromorphic functions by Chung-Chun Yang ; Hong-Xun Yi
title_fullStr	Uniqueness theory of meromorphic functions by Chung-Chun Yang ; Hong-Xun Yi
title_full_unstemmed	Uniqueness theory of meromorphic functions by Chung-Chun Yang ; Hong-Xun Yi
title_short	Uniqueness theory of meromorphic functions
title_sort	uniqueness theory of meromorphic functions
topic	Fonctions méromorphes Functions, Meromorphic Meromorphe Funktion (DE-588)4136862-9 gnd
topic_facet	Fonctions méromorphes Functions, Meromorphic Meromorphe Funktion
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work_keys_str_mv	AT yangchungchun uniquenesstheoryofmeromorphicfunctions AT yihongxun uniquenesstheoryofmeromorphicfunctions

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