Entire and meromorphic functions:
The book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, starting from scratch...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
1996
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | The book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, starting from scratch. It contains the first book-form presentation of the Rubel-Taylor Fourier series method for meromorphic functions and the Miles theorem on efficient quotient representation. It has a concise but complete treatment of the Polya theory of the Borel transform and the conjugate indicator diagram. It contains some of Buck's results on integer-valued entire functions, and the Malliavin-Rubel uniqueness theorem. The book closes with applications to mathematical logic In particular, the first-order theory of the ring of entire functions is developed and questions concerning identities of exponential functions are studied as in Tarski's "High School Algebra Problems." The approach of the book gets to the heart of the matter without excessive scholarly detours. It prepares the reader for further study of the vast literature on the subject, which is one of the cornerstones of complex analysis |
| Beschreibung: | VIII, 187 Seiten graph. Darst. |
| ISBN: | 0387945105 |
Internformat
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| 100 | 1 | |a Rubel, Lee A. |d 1928-1995 |e Verfasser |0 (DE-588)1120147573 |4 aut | |
| 245 | 1 | 0 | |a Entire and meromorphic functions |c Lee A. Rubel with assistance from James E. Colliander |
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 1996 | |
| 300 | |a VIII, 187 Seiten |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Universitext | |
| 520 | 3 | |a The book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, starting from scratch. It contains the first book-form presentation of the Rubel-Taylor Fourier series method for meromorphic functions and the Miles theorem on efficient quotient representation. It has a concise but complete treatment of the Polya theory of the Borel transform and the conjugate indicator diagram. It contains some of Buck's results on integer-valued entire functions, and the Malliavin-Rubel uniqueness theorem. The book closes with applications to mathematical logic | |
| 520 | |a In particular, the first-order theory of the ring of entire functions is developed and questions concerning identities of exponential functions are studied as in Tarski's "High School Algebra Problems." The approach of the book gets to the heart of the matter without excessive scholarly detours. It prepares the reader for further study of the vast literature on the subject, which is one of the cornerstones of complex analysis | ||
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| 650 | 4 | |a Fonctions méromorphes | |
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| 650 | 7 | |a Meromorfe functies |2 gtt | |
| 650 | 4 | |a Nevanlinna, Théorie de | |
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| 650 | 7 | |a fonction méromorphe |2 inriac | |
| 650 | 7 | |a série Fourier |2 inriac | |
| 650 | 7 | |a théorie Nevanlinna |2 inriac | |
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| 650 | 4 | |a Functions, Meromorphic | |
| 650 | 4 | |a Nevanlinna theory | |
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Datensatz im Suchindex
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| adam_text |
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| any_adam_object | 1 |
| author | Rubel, Lee A. 1928-1995 |
| author_GND | (DE-588)1120147573 |
| author_facet | Rubel, Lee A. 1928-1995 |
| author_role | aut |
| author_sort | Rubel, Lee A. 1928-1995 |
| author_variant | l a r la lar |
| building | Verbundindex |
| bvnumber | BV010782485 |
| callnumber-first | Q - Science |
| callnumber-label | QA353 |
| callnumber-raw | QA353.E5 |
| callnumber-search | QA353.E5 |
| callnumber-sort | QA 3353 E5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 700 SK 750 |
| classification_tum | MAT 305f |
| ctrlnum | (OCoLC)33334260 (DE-599)BVBBV010782485 |
| dewey-full | 515/.98 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.98 |
| dewey-search | 515/.98 |
| dewey-sort | 3515 298 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010782485 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:48Z |
| institution | BVB |
| isbn | 0387945105 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007201714 |
| oclc_num | 33334260 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-20 DE-29T DE-824 DE-739 DE-19 DE-BY-UBM DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-20 DE-29T DE-824 DE-739 DE-19 DE-BY-UBM DE-634 DE-83 DE-11 DE-188 |
| physical | VIII, 187 Seiten graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Rubel, Lee A. 1928-1995 Verfasser (DE-588)1120147573 aut Entire and meromorphic functions Lee A. Rubel with assistance from James E. Colliander New York, NY [u.a.] Springer 1996 VIII, 187 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext The book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution of meromorphic functions, starting from scratch. It contains the first book-form presentation of the Rubel-Taylor Fourier series method for meromorphic functions and the Miles theorem on efficient quotient representation. It has a concise but complete treatment of the Polya theory of the Borel transform and the conjugate indicator diagram. It contains some of Buck's results on integer-valued entire functions, and the Malliavin-Rubel uniqueness theorem. The book closes with applications to mathematical logic In particular, the first-order theory of the ring of entire functions is developed and questions concerning identities of exponential functions are studied as in Tarski's "High School Algebra Problems." The approach of the book gets to the heart of the matter without excessive scholarly detours. It prepares the reader for further study of the vast literature on the subject, which is one of the cornerstones of complex analysis Fonctions entières Fonctions méromorphes Gehele functies gtt Meromorfe functies gtt Nevanlinna, Théorie de fonction entière inriac fonction méromorphe inriac série Fourier inriac théorie Nevanlinna inriac Functions, Entire Functions, Meromorphic Nevanlinna theory Meromorphe Funktion (DE-588)4136862-9 gnd rswk-swf Ganze Funktion (DE-588)4131592-3 gnd rswk-swf Nevanlinna-Theorie (DE-588)4239989-0 gnd rswk-swf Nevanlinna-Theorie (DE-588)4239989-0 s Ganze Funktion (DE-588)4131592-3 s DE-604 Meromorphe Funktion (DE-588)4136862-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007201714&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rubel, Lee A. 1928-1995 Entire and meromorphic functions Fonctions entières Fonctions méromorphes Gehele functies gtt Meromorfe functies gtt Nevanlinna, Théorie de fonction entière inriac fonction méromorphe inriac série Fourier inriac théorie Nevanlinna inriac Functions, Entire Functions, Meromorphic Nevanlinna theory Meromorphe Funktion (DE-588)4136862-9 gnd Ganze Funktion (DE-588)4131592-3 gnd Nevanlinna-Theorie (DE-588)4239989-0 gnd |
| subject_GND | (DE-588)4136862-9 (DE-588)4131592-3 (DE-588)4239989-0 |
| title | Entire and meromorphic functions |
| title_auth | Entire and meromorphic functions |
| title_exact_search | Entire and meromorphic functions |
| title_full | Entire and meromorphic functions Lee A. Rubel with assistance from James E. Colliander |
| title_fullStr | Entire and meromorphic functions Lee A. Rubel with assistance from James E. Colliander |
| title_full_unstemmed | Entire and meromorphic functions Lee A. Rubel with assistance from James E. Colliander |
| title_short | Entire and meromorphic functions |
| title_sort | entire and meromorphic functions |
| topic | Fonctions entières Fonctions méromorphes Gehele functies gtt Meromorfe functies gtt Nevanlinna, Théorie de fonction entière inriac fonction méromorphe inriac série Fourier inriac théorie Nevanlinna inriac Functions, Entire Functions, Meromorphic Nevanlinna theory Meromorphe Funktion (DE-588)4136862-9 gnd Ganze Funktion (DE-588)4131592-3 gnd Nevanlinna-Theorie (DE-588)4239989-0 gnd |
| topic_facet | Fonctions entières Fonctions méromorphes Gehele functies Meromorfe functies Nevanlinna, Théorie de fonction entière fonction méromorphe série Fourier théorie Nevanlinna Functions, Entire Functions, Meromorphic Nevanlinna theory Meromorphe Funktion Ganze Funktion Nevanlinna-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007201714&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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