Hypergeometric summation: an algorithmic approach to summation and special function identities
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Braunschweig [u.a.]
Friedr. Vieweg & Sohn Verlagsgesellschaft
1998
|
| Schriftenreihe: | Advanced Lectures in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 230 Seiten |
| ISBN: | 3528069503 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804126550944120832 |
|---|---|
| adam_text | DC
Contents
Preface V
Introduction 1
1 The Gamma Function 4
Exercises 9
2 Hypergeometric Identities 11
q Hypergeometric Identities 24
Exercises 26
3 Hypergeometric Database 31
q Hypergeometric Database 40
Exercises 41
4 Holonomic Recurrence Equations 44
Multiple Summation 53
g Holonomic Recurrence Equations 55
Exercises 57
5 Gosper s Algorithm 61
Linearization of Gosper s Algorithm 74
q Gosper Algorithm 74
Exercises 75
6 The Wilf Zeilberger Method 80
g WZ method 90
Exercises 90
7 Zeilberger s Algorithm 93
g Zeilberger Algorithm H3
Exercises 113
8 Extensions of the Algorithms 124
Exercises 137
X
9 Petkovsek s Algorithm 140
q Petkovsek Algorithm 157
Exercises 158
10 Differential Equations for Sums 164
g Differential Equations for Sums 176
Exercises 178
11 Hyperexponential Antiderivatives 183
Exercises 192
12 Holonomic Equations for Integrals 194
Exercises 203
13 Rodrigues Formulas and Generating Functions 207
Exercises 211
Appendix: Installation of the Software 214
Bibliography 216
List of Symbols 224
Index 225
|
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| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV011962098 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:19:15Z |
| institution | BVB |
| isbn | 3528069503 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008089127 |
| oclc_num | 40751779 |
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| physical | X, 230 Seiten |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Friedr. Vieweg & Sohn Verlagsgesellschaft |
| record_format | marc |
| series2 | Advanced Lectures in Mathematics |
| spelling | Koepf, Wolfram 1953- Verfasser (DE-588)136291279 aut Hypergeometric summation an algorithmic approach to summation and special function identities Wolfram Koepf Braunschweig [u.a.] Friedr. Vieweg & Sohn Verlagsgesellschaft 1998 X, 230 Seiten txt rdacontent n rdamedia nc rdacarrier Advanced Lectures in Mathematics Física matemática larpcal Mathematische Physik Hypergeometric functions Mathematical physics Spezielle Funktion (DE-588)4182213-4 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Maple V 4.0 (DE-588)4407788-9 gnd rswk-swf Summierungsverfahren (DE-588)4308019-4 gnd rswk-swf Hypergeometrische Reihe (DE-588)4161061-1 gnd rswk-swf Hypergeometrische Reihe (DE-588)4161061-1 s Spezielle Funktion (DE-588)4182213-4 s Summierungsverfahren (DE-588)4308019-4 s Algorithmus (DE-588)4001183-5 s Maple V 4.0 (DE-588)4407788-9 s DE-604 Differenzengleichung (DE-588)4012264-5 s Differentialgleichung (DE-588)4012249-9 s Numerische Mathematik (DE-588)4042805-9 s Zahlentheorie (DE-588)4067277-3 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008089127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Koepf, Wolfram 1953- Hypergeometric summation an algorithmic approach to summation and special function identities Física matemática larpcal Mathematische Physik Hypergeometric functions Mathematical physics Spezielle Funktion (DE-588)4182213-4 gnd Algorithmus (DE-588)4001183-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Zahlentheorie (DE-588)4067277-3 gnd Maple V 4.0 (DE-588)4407788-9 gnd Summierungsverfahren (DE-588)4308019-4 gnd Hypergeometrische Reihe (DE-588)4161061-1 gnd |
| subject_GND | (DE-588)4182213-4 (DE-588)4001183-5 (DE-588)4012249-9 (DE-588)4042805-9 (DE-588)4012264-5 (DE-588)4067277-3 (DE-588)4407788-9 (DE-588)4308019-4 (DE-588)4161061-1 |
| title | Hypergeometric summation an algorithmic approach to summation and special function identities |
| title_auth | Hypergeometric summation an algorithmic approach to summation and special function identities |
| title_exact_search | Hypergeometric summation an algorithmic approach to summation and special function identities |
| title_full | Hypergeometric summation an algorithmic approach to summation and special function identities Wolfram Koepf |
| title_fullStr | Hypergeometric summation an algorithmic approach to summation and special function identities Wolfram Koepf |
| title_full_unstemmed | Hypergeometric summation an algorithmic approach to summation and special function identities Wolfram Koepf |
| title_short | Hypergeometric summation |
| title_sort | hypergeometric summation an algorithmic approach to summation and special function identities |
| title_sub | an algorithmic approach to summation and special function identities |
| topic | Física matemática larpcal Mathematische Physik Hypergeometric functions Mathematical physics Spezielle Funktion (DE-588)4182213-4 gnd Algorithmus (DE-588)4001183-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Zahlentheorie (DE-588)4067277-3 gnd Maple V 4.0 (DE-588)4407788-9 gnd Summierungsverfahren (DE-588)4308019-4 gnd Hypergeometrische Reihe (DE-588)4161061-1 gnd |
| topic_facet | Física matemática Mathematische Physik Hypergeometric functions Mathematical physics Spezielle Funktion Algorithmus Differentialgleichung Numerische Mathematik Differenzengleichung Zahlentheorie Maple V 4.0 Summierungsverfahren Hypergeometrische Reihe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008089127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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