Verfügbarkeit: Hypergeometric summation | Technische Universität München

Hypergeometric summation: an algorithmic approach to summation and special function identities

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Bibliographische Detailangaben
Beteilige Person:	Koepf, Wolfram 1953- (VerfasserIn)
Format:	Buch
Sprache:	Deutsch
Veröffentlicht:	Braunschweig [u.a.] Friedr. Vieweg & Sohn Verlagsgesellschaft 1998
Schriftenreihe:	Advanced Lectures in Mathematics
Schlagwörter:	Física matemática Mathematische Physik Hypergeometric functions Mathematical physics Spezielle Funktion Algorithmus Differentialgleichung Numerische Mathematik Differenzengleichung Zahlentheorie Maple V 4.0 Summierungsverfahren Hypergeometrische Reihe
Links:	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
Umfang:	X, 230 Seiten
ISBN:	3528069503

Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 335f 2001 A 20991 0202 MAT 335f 2002 A 920
DE-BY-TUM_katkey	1124301
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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
any_adam_object	1
author	Koepf, Wolfram 1953-
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ctrlnum	(OCoLC)40751779 (DE-599)BVBBV011962098
discipline	Informatik Mathematik
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illustrated	Not Illustrated
indexdate	2024-12-20T10:21:47Z
institution	BVB
isbn	3528069503
language	German
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physical	X, 230 Seiten
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publisher	Friedr. Vieweg & Sohn Verlagsgesellschaft
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series2	Advanced Lectures in Mathematics
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
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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
work_keys_str_mv	AT koepfwolfram hypergeometricsummationanalgorithmicapproachtosummationandspecialfunctionidentities

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