Verfügbarkeit: Gröbner deformations of hypergeometric differential equations

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Bibliographische Detailangaben
Beteiligte Personen:	Saito, Mutsumi 1960- (VerfasserIn), Sturmfels, Bernd 1962- (VerfasserIn), Takayama, Nobuki 1959- (VerfasserIn)
Format:	Buch
Sprache:	Deutsch
Veröffentlicht:	Berlin [u.a.] Springer 2000
Schriftenreihe:	Algorithms and computation in mathematics 6
Schlagwörter:	Hypergeometrische Differentialgleichung Gröbner-Basis
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661268&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Hier auch später erschienene, unveränderte Nachdrucke
Umfang:	VIII, 254 S. graph. Darst.
ISBN:	3540660658 9783642085345

Internformat

MARC


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Datensatz im Suchindex

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DE-BY-TUM_media_number	040020408524 040020274691
DE-BY-UBR_call_number	80/SK 540 S158
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DE-BY-UBR_location	UB Lesesaal Mathematik
DE-BY-UBR_media_number	069030314536
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adam_text	Contents 1. Basic Notions 1 1.1 Grobner Bases in the Weyl Algebra 2 1.2 Weight Vectors and Non-term Orders 11 1.3 The Gauss Hypergeometric Equation 16 1.4 Holonomic Systems 28 1.5 Integrals of Products of Linear Forms 40 2. Solving Regular Holonomic Systems 51 2.1 The Grobner Fan 51 2.2 Semi-Continuity of the Holonomic Rank 62 2.3 Torus Action and Frobenius Ideals 66 2.4 Regular Holonomic Systems 77 2.5 Canonical Series Solutions 88 2.6 Construction of Series Solutions 96 3. Hypergeometric Series 103 3.1 GKZ-Hypergeometric Ideal for Generic Parameters 104 3.2 Standard Pairs and Triangulations 109 3.3 The Hypergeometric Fan 120 3.4 Logarithm-free Hypergeometric Series 127 3.5 Lower Bound for the Holonomic Rank 134 3.6 Unimodular Triangulations 138 4. Rank versus Volume 151 4.1 The Fake Indicial Ideal and an Upper Bound 154 4.2 Hypergeometric Functions from Toric Curves 161 4.3 Koszul Complexes and Cohen-Macaulay Property 167 4.4 Integer Programming and Parametric 6-functions 174 4.5 The Exceptional Hyperplane Arrangement 181 4.6 w-fiatness 186 5. Integration of Z?-modules 193 5.1 6-functions for Holonomic D-ideals 193 5.2 Computing Restrictions 199 VIII Contents 5.3 Powers of Polynomials 211 5.4 Hypergeometric Integrals 219 5.5 Computing Integrals 227 5.6 Asymptotic Expansions of Hypergeometric Integrals 235 Appendix 241 References 245 Index 251
any_adam_object	1
author	Saito, Mutsumi 1960- Sturmfels, Bernd 1962- Takayama, Nobuki 1959-
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indexdate	2024-12-20T10:35:27Z
institution	BVB
isbn	3540660658 9783642085345
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008661268
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series	Algorithms and computation in mathematics
series2	Algorithms and computation in mathematics
spellingShingle	Saito, Mutsumi 1960- Sturmfels, Bernd 1962- Takayama, Nobuki 1959- Gröbner deformations of hypergeometric differential equations Algorithms and computation in mathematics Hypergeometrische Differentialgleichung (DE-588)4261657-8 gnd Gröbner-Basis (DE-588)4276378-2 gnd
subject_GND	(DE-588)4261657-8 (DE-588)4276378-2
title	Gröbner deformations of hypergeometric differential equations
title_auth	Gröbner deformations of hypergeometric differential equations
title_exact_search	Gröbner deformations of hypergeometric differential equations
title_full	Gröbner deformations of hypergeometric differential equations Mutsumi Saito ; Bernd Sturmfels ; Nobuki Takayama
title_fullStr	Gröbner deformations of hypergeometric differential equations Mutsumi Saito ; Bernd Sturmfels ; Nobuki Takayama
title_full_unstemmed	Gröbner deformations of hypergeometric differential equations Mutsumi Saito ; Bernd Sturmfels ; Nobuki Takayama
title_short	Gröbner deformations of hypergeometric differential equations
title_sort	grobner deformations of hypergeometric differential equations
topic	Hypergeometrische Differentialgleichung (DE-588)4261657-8 gnd Gröbner-Basis (DE-588)4276378-2 gnd
topic_facet	Hypergeometrische Differentialgleichung Gröbner-Basis
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661268&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV011131286
work_keys_str_mv	AT saitomutsumi grobnerdeformationsofhypergeometricdifferentialequations AT sturmfelsbernd grobnerdeformationsofhypergeometricdifferentialequations AT takayamanobuki grobnerdeformationsofhypergeometricdifferentialequations

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