P-adic analytic functions:
"P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2021
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of an open disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions--in the whole field or inside an open disk--is a Bezout ring is also examined"--Publisher's website |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 online resource (348 pages) |
| ISBN: | 9789811226229 |
Internformat
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| 520 | |a "P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of an open disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions--in the whole field or inside an open disk--is a Bezout ring is also examined"--Publisher's website | ||
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Datensatz im Suchindex
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| author | Escassut, Alain |
| author_facet | Escassut, Alain |
| author_role | aut |
| author_sort | Escassut, Alain |
| author_variant | a e ae |
| building | Verbundindex |
| bvnumber | BV047240481 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00011990 (OCoLC)1249681924 (DE-599)BVBBV047240481 |
| dewey-full | 512.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.74 |
| dewey-search | 512.74 |
| dewey-sort | 3512.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047240481 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:04:04Z |
| indexdate | 2024-07-10T09:06:35Z |
| institution | BVB |
| isbn | 9789811226229 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032644768 |
| oclc_num | 1249681924 |
| open_access_boolean | |
| physical | 1 online resource (348 pages) |
| psigel | ZDB-124-WOP TUM_PDA_WOP |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Escassut, Alain aut P-adic analytic functions Alain Escassut Singapore World Scientific 2021 1 online resource (348 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index "P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of an open disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions--in the whole field or inside an open disk--is a Bezout ring is also examined"--Publisher's website p-adic analysis Analytic functions Nevanlinna theory p-adische Analysis (DE-588)4252360-6 gnd rswk-swf Electronic books p-adische Analysis (DE-588)4252360-6 s DE-604 Erscheint auch als Druck-Ausgabe 9789811226212 https://www.worldscientific.com/worldscibooks/10.1142/11990#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Escassut, Alain P-adic analytic functions p-adic analysis Analytic functions Nevanlinna theory p-adische Analysis (DE-588)4252360-6 gnd |
| subject_GND | (DE-588)4252360-6 |
| title | P-adic analytic functions |
| title_auth | P-adic analytic functions |
| title_exact_search | P-adic analytic functions |
| title_exact_search_txtP | P-adic analytic functions |
| title_full | P-adic analytic functions Alain Escassut |
| title_fullStr | P-adic analytic functions Alain Escassut |
| title_full_unstemmed | P-adic analytic functions Alain Escassut |
| title_short | P-adic analytic functions |
| title_sort | p adic analytic functions |
| topic | p-adic analysis Analytic functions Nevanlinna theory p-adische Analysis (DE-588)4252360-6 gnd |
| topic_facet | p-adic analysis Analytic functions Nevanlinna theory p-adische Analysis |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11990#t=toc |
| work_keys_str_mv | AT escassutalain padicanalyticfunctions |