Complex analysis 1 Entire and meromorphic functions, polyanalytic functions and their generalizations
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| Format: | Buch |
| Sprache: | English |
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Berlin [u.a.]
Springer
1997
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| Ausgabe: | [Übers. aus d. Russ.] |
| Schriftenreihe: | Encyclopaedia of mathematical sciences
85 |
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| 245 | 1 | 0 | |a Complex analysis |n 1 |p Entire and meromorphic functions, polyanalytic functions and their generalizations |c A. A. Gonchar..., eds. |
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Datensatz im Suchindex
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| adam_text | A. A. GONCHAR V P. HAVIN N.K.NIKOLSKI (EDS.) COMPLEX ANALYSIS I ENTIRE
AND MEROMORPHIC FUNCTIONS POLYANALYTIC FUNCTIONS AND THEIR
GENERALIZATIONS SPRINGER I. ENTIRE AND MEROMORPHIC FUNCTIONS A.A.
GOL DBERG, B.YA. LEVIN, I.V. OSTROVSKII TRANSLATED FROM THE RUSSIAN BY
V.L. RUBLINETSKIJ AND V.A. TKACHENKO CONTENTS INTRODUCTION 4 CHAPTER 1.
GENERAL THEOREMS ON THE ASYMPTOTIC BEHAVIOR OF ENTIRE AND MEROMORPHIC
FUNCTIONS (A.A.GOL DBERG, B.YA.LEVIN, I.V.OSTROVSKII) 6 §1.
CHARACTERISTICS OF ASYMPTOTIC BEHAVIOR 6 §2. RELATION BETWEEN GROWTH AND
DECREASE 14 §3. RELATION BETWEEN THE INDICATOR OF AN ENTIRE FUNCTION AND
SINGULARITIES OF ITS BOREL TRANSFORM 19 §4. WIMAN-VALIRON THEORY 22
CHAPTER 2. THE CONNECTION BETWEEN THE GROWTH OF AN ENTIRE FUNCTION AND
THE DISTRIBUTION OF ITS ZEROS (B.YA.LEVIN, I.V.OSTROVSKII) 30 §1.
CLASSICAL RESULTS 30 §2. ENTIRE FUNCTIONS OF COMPLETELY REGULAR GROWTH
32 §3. ENTIRE FUNCTIONS OF EXPONENTIAL TYPE WITH RESTRICTIONS ON THE
REAL AXIS 36 §4. EXCEPTIONAL SETS 38 §5. TWO-TERM ASYMPTOTICS 41 2 A.A.
GOL DBERG, B.YA. LEVIN, I.V. OSTROVSKII §6. APPROXIMATION OF A
SUBHARMONIC FUNCTION BY THE LOGARITHM OF THE MODULUS OF AN ENTIRE
FUNCTION 42 §7. THE RELATION BETWEEN THE GROWTH AND DISTRIBUTION OF
ZEROS AND FOURIER COEFFICIENTS 43 CHAPTER 3. LIMIT SETS OF ENTIRE AND
SUBHARMONIC FUNCTIONS (V.S.AZARIN) 48 §1. PRINCIPAL NOTATIONS AND
THEOREMS 48 §2. LIMIT SETS AND THEIR RELATION TO OTHER CHARACTERISTICS
51 §3. APPLICATIONS OF LIMIT SETS 54 §4. LIMIT SETS AS DYNAMICAL SYSTEMS
64 CHAPTER 4. INTERPOLATION BY ENTIRE FUNCTIONS (B.YA.LEVIN,
V.A.TKACHENKO) 67 §1. NEWTON S INTERPOLATION SERIES 68 §2.
ABEL-GONTCHAROFF INTERPOLATION SERIES 73 §3. GELFOND S MOMENTS PROBLEM
79 §4. LAGRANGE S INTERPOLATION SERIES 83 §5. INTERPOLATION TECHNIQUES
BASED ON SOLVING THE 9-PROBLEM 89 §6. THE LAGRANGE INTERPOLATION PROCESS
IN SOME NORMED SPACES .... 93 CHAPTER 5. DISTRIBUTION OF VALUES OF
MEROMORPHIC FUNCTIONS (A.A.GOL DBERG) 99 §1. MAIN NEVANLINNA THEOREMS.
NEVANLINNA DEFICIENT VALUES AND DEFICIENT FUNCTIONS 99 §2. INVERSE
PROBLEMS OF VALUE DISTRIBUTION THEORY 104 §3. THE AHLFORS THEORY 106 §4.
VALIRON DEFICIENCIES 109 §5. EXCEPTIONAL VALUES IN THE SENSE OF PETRENKO
ILL §6. ASYMPTOTIC CURVES AND ASYMPTOTIC VALUES 112 §7. JULIA AND BOREL
DIRECTIONS. FILLING DISKS 115 §8. CLOSENESS OF A-POINTS 119 §9. VALUE
DISTRIBUTION OF DERIVATIVES OF MEROMORPHIC FUNCTIONS 122 §10. VALUE
DISTRIBUTION WITH RESPECT TO ARGUMENTS 125 §11. VALUE DISTRIBUTION OF
SPECIAL CLASSES OF MEROMORPHIC FUNCTIONS .. 130 §12. ENTIRE CURVES 136
CHAPTER 6. ENTIRE AND MEROMORPHIC SOLUTIONS OF ORDINARY DIFFERENTIAL
EQUATIONS (A.E.EREMENKO) 141 §1. NONLINEAR ADES WITH MEROMORPHIC
SOLUTIONS 142 §2. LINEAR DIFFERENTIAL EQUATIONS 149 I. ENTIRE AND
MEROMORPHIC FUNCTIONS 3 CHAPTER 7. SOME APPLICATIONS OF THE THEORY OF
ENTIRE FUNCTIONS (I.V.OSTROVSKII) 154 §1. RIEMANN S BOUNDARY PROBLEM
WITH INFINITE INDEX 154 §2. THE ARITHMETIC OF PROBABILITY DISTRIBUTIONS
160 §3. ENTIRE CHARACTERISTIC AND RIDGE FUNCTIONS 168 REFERENCES 172
|
| any_adam_object | 1 |
| author2 | Gončar, Andrej A. |
| author2_role | edt |
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| author_facet | Gončar, Andrej A. |
| building | Verbundindex |
| bvnumber | BV025742734 |
| classification_rvk | SK 750 |
| ctrlnum | (OCoLC)312490123 (DE-599)BVBBV025742734 |
| discipline | Mathematik |
| edition | [Übers. aus d. Russ.] |
| format | Book |
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| id | DE-604.BV025742734 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:18:23Z |
| institution | BVB |
| isbn | 3540547037 |
| language | English |
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| owner_facet | DE-11 |
| physical | 261 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Encyclopaedia of mathematical sciences |
| series2 | Encyclopaedia of mathematical sciences |
| spelling | Complex analysis 1 Entire and meromorphic functions, polyanalytic functions and their generalizations A. A. Gonchar..., eds. [Übers. aus d. Russ.] Berlin [u.a.] Springer 1997 261 S. txt rdacontent n rdamedia nc rdacarrier Encyclopaedia of mathematical sciences 85 Gončar, Andrej A. edt (DE-604)BV024974402 1 Encyclopaedia of mathematical sciences 85 (DE-604)BV024126459 85 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019347066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Complex analysis Encyclopaedia of mathematical sciences |
| title | Complex analysis |
| title_auth | Complex analysis |
| title_exact_search | Complex analysis |
| title_full | Complex analysis 1 Entire and meromorphic functions, polyanalytic functions and their generalizations A. A. Gonchar..., eds. |
| title_fullStr | Complex analysis 1 Entire and meromorphic functions, polyanalytic functions and their generalizations A. A. Gonchar..., eds. |
| title_full_unstemmed | Complex analysis 1 Entire and meromorphic functions, polyanalytic functions and their generalizations A. A. Gonchar..., eds. |
| title_short | Complex analysis |
| title_sort | complex analysis entire and meromorphic functions polyanalytic functions and their generalizations |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019347066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV024974402 (DE-604)BV024126459 |
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