Uniqueness theory of meromorphic functions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Beijing [u.a.]
Science Press [u.a.]
2003
|
| Schriftenreihe: | Mathematics and its applications
557 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 569 S. |
| ISBN: | 1402014481 7030084519 |
Internformat
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Datensatz im Suchindex
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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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| dewey-full | 515.982 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:28:34Z |
| indexdate | 2024-07-09T20:42:54Z |
| institution | BVB |
| isbn | 1402014481 7030084519 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014951768 |
| oclc_num | 56808987 |
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| owner | DE-20 |
| owner_facet | DE-20 |
| physical | VIII, 569 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Science Press [u.a.] |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| 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 |
| url | 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 |
| volume_link | (DE-604)BV008163334 |
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