Hypergeometric Functions, My Love: Modular Interpretations of Configuration Spaces
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Wiesbaden
Vieweg+Teubner Verlag
1997
|
| Schriftenreihe: | Aspects of Mathematics
32 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | There are various interesting stories about the hypergeometric differential equation E(a, b, c) : x(l - x )u" + {c - (a + b + l)x }u' - abu = D and its solution, the hypergeometric function. Among others, I love the following story: when (a, b, c) = (1/2,1/2,1), the ratio Ul(X) : uz(x) of linearly independent solutions defines a multi-valued map D}, its monodromy group is f(2) = {g E SL(2, Z) 1 g == 12 mod 2}, the map |
| Beschreibung: | 1 Online-Ressource (XVI, 292 p) |
| ISBN: | 9783322901668 9783322901682 |
| ISSN: | 0179-2156 |
| DOI: | 10.1007/978-3-322-90166-8 |
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| 500 | |a There are various interesting stories about the hypergeometric differential equation E(a, b, c) : x(l - x )u" + {c - (a + b + l)x }u' - abu = D and its solution, the hypergeometric function. Among others, I love the following story: when (a, b, c) = (1/2,1/2,1), the ratio Ul(X) : uz(x) of linearly independent solutions defines a multi-valued map D}, its monodromy group is f(2) = {g E SL(2, Z) 1 g == 12 mod 2}, the map | ||
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Datensatz im Suchindex
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| author | Yoshida, Masaaki |
| author_facet | Yoshida, Masaaki |
| author_role | aut |
| author_sort | Yoshida, Masaaki |
| author_variant | m y my |
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| bvnumber | BV042422375 |
| classification_tum | MAT 000 |
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| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620 |
| dewey-search | 620 |
| dewey-sort | 3620 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-322-90166-8 |
| format | Electronic eBook |
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| id | DE-604.BV042422375 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783322901668 9783322901682 |
| issn | 0179-2156 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857792 |
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| physical | 1 Online-Ressource (XVI, 292 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1997 |
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| publisher | Vieweg+Teubner Verlag |
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| series2 | Aspects of Mathematics |
| spelling | Yoshida, Masaaki Verfasser aut Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces by Masaaki Yoshida Wiesbaden Vieweg+Teubner Verlag 1997 1 Online-Ressource (XVI, 292 p) txt rdacontent c rdamedia cr rdacarrier Aspects of Mathematics 32 0179-2156 There are various interesting stories about the hypergeometric differential equation E(a, b, c) : x(l - x )u" + {c - (a + b + l)x }u' - abu = D and its solution, the hypergeometric function. Among others, I love the following story: when (a, b, c) = (1/2,1/2,1), the ratio Ul(X) : uz(x) of linearly independent solutions defines a multi-valued map D}, its monodromy group is f(2) = {g E SL(2, Z) 1 g == 12 mod 2}, the map Engineering Engineering, general Ingenieurwissenschaften Konfigurationsraum (DE-588)4199256-8 gnd rswk-swf Hypergeometrische Reihe (DE-588)4161061-1 gnd rswk-swf Konfigurationsraum (DE-588)4199256-8 s Hypergeometrische Reihe (DE-588)4161061-1 s 1\p DE-604 https://doi.org/10.1007/978-3-322-90166-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Yoshida, Masaaki Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces Engineering Engineering, general Ingenieurwissenschaften Konfigurationsraum (DE-588)4199256-8 gnd Hypergeometrische Reihe (DE-588)4161061-1 gnd |
| subject_GND | (DE-588)4199256-8 (DE-588)4161061-1 |
| title | Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces |
| title_auth | Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces |
| title_exact_search | Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces |
| title_full | Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces by Masaaki Yoshida |
| title_fullStr | Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces by Masaaki Yoshida |
| title_full_unstemmed | Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces by Masaaki Yoshida |
| title_short | Hypergeometric Functions, My Love |
| title_sort | hypergeometric functions my love modular interpretations of configuration spaces |
| title_sub | Modular Interpretations of Configuration Spaces |
| topic | Engineering Engineering, general Ingenieurwissenschaften Konfigurationsraum (DE-588)4199256-8 gnd Hypergeometrische Reihe (DE-588)4161061-1 gnd |
| topic_facet | Engineering Engineering, general Ingenieurwissenschaften Konfigurationsraum Hypergeometrische Reihe |
| url | https://doi.org/10.1007/978-3-322-90166-8 |
| work_keys_str_mv | AT yoshidamasaaki hypergeometricfunctionsmylovemodularinterpretationsofconfigurationspaces |