Holdings: Hypergeometric summation

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

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Bibliographic Details
Main Author:	Koepf, Wolfram 1953- (Author)
Format:	Electronic eBook
Language:	English
Published:	London [u.a.] Springer 2014
Edition:	2. ed.
Series:	Universitext
Subjects:	Numerische Mathematik Zahlentheorie Maple V 4.0 Summierungsverfahren Hypergeometrische Reihe Algorithmus Differentialgleichung Differenzengleichung Spezielle Funktion
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781447164630 9781447164647
DOI:	10.1007/978-1-4471-6464-7

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Record in the Search Index

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adam_text	HYPERGEOMETRIC SUMMATION / KOEPF, WOLFRAM : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION THE GAMMA FUNCTION HYPERGEOMETRIC IDENTITIES HYPERGEOMETRIC DATABASE HOLONOMIC RECURRENCE EQUATIONS GOSPER’S ALGORITHM THE WILF-ZEILBERGER METHOD ZEILBERGER’S ALGORITHM EXTENSIONS OF THE ALGORITHMS PETKOVˇSEK’S AND VAN HOEIJ’S ALGORITHM DIFFERENTIAL EQUATIONS FOR SUMS HYPEREXPONENTIAL ANTIDERIVATIVES HOLONOMIC EQUATIONS FOR INTEGRALS RODRIGUES FORMULAS AND GENERATING FUNCTIONS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. HYPERGEOMETRIC SUMMATION / KOEPF, WOLFRAM : 2014 ABSTRACT / INHALTSTEXT MODERN ALGORITHMIC TECHNIQUES FOR SUMMATION, MOST OF WHICH WERE INTRODUCED IN THE 1990S, ARE DEVELOPED HERE AND CAREFULLY IMPLEMENTED IN THE COMPUTER ALGEBRA SYSTEM MAPLE™. THE ALGORITHMS OF FASENMYER, GOSPER, ZEILBERGER, PETKOVSEK AND VAN HOEIJ FOR HYPERGEOMETRIC SUMMATION AND RECURRENCE EQUATIONS, EFFICIENT MULTIVARIATE SUMMATION AS WELL AS Q-ANALOGUES OF THE ABOVE ALGORITHMS ARE COVERED. SIMILAR ALGORITHMS CONCERNING DIFFERENTIAL EQUATIONS ARE CONSIDERED. AN EQUIVALENT THEORY OF HYPEREXPONENTIAL INTEGRATION DUE TO ALMKVIST AND ZEILBERGER COMPLETES THE BOOK. THE COMBINATION OF THESE RESULTS GIVES ORTHOGONAL POLYNOMIALS AND (HYPERGEOMETRIC AND Q-HYPERGEOMETRIC) SPECIAL FUNCTIONS A SOLID ALGORITHMIC FOUNDATION. HENCE, MANY EXAMPLES FROM THIS VERY ACTIVE FIELD ARE GIVEN. THE MATERIALS COVERED ARE SUITABLE FOR AN INTRODUCTORY COURSE ON ALGORITHMIC SUMMATION AND WILL APPEAL TO STUDENTS AND RESEARCHERS ALIKE DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Koepf, Wolfram 1953- Verfasser (DE-588)136291279 aut Hypergeometric summation an algorithmic approach to summation and special function identities Wolfram Koepf 2. ed. London [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Universitext Numerische Mathematik (DE-588)4042805-9 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 Algorithmus (DE-588)4001183-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Spezielle Funktion (DE-588)4182213-4 gnd rswk-swf Summierungsverfahren (DE-588)4308019-4 s Hypergeometrische Reihe (DE-588)4161061-1 s Spezielle Funktion (DE-588)4182213-4 s 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 Algorithmus (DE-588)4001183-5 s Maple V 4.0 (DE-588)4407788-9 s 2\p DE-604 https://doi.org/10.1007/978-1-4471-6464-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027389982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027389982&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\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 Numerische Mathematik (DE-588)4042805-9 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 Algorithmus (DE-588)4001183-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Spezielle Funktion (DE-588)4182213-4 gnd
subject_GND	(DE-588)4042805-9 (DE-588)4067277-3 (DE-588)4407788-9 (DE-588)4308019-4 (DE-588)4161061-1 (DE-588)4001183-5 (DE-588)4012249-9 (DE-588)4012264-5 (DE-588)4182213-4
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	Numerische Mathematik (DE-588)4042805-9 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 Algorithmus (DE-588)4001183-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Spezielle Funktion (DE-588)4182213-4 gnd
topic_facet	Numerische Mathematik Zahlentheorie Maple V 4.0 Summierungsverfahren Hypergeometrische Reihe Algorithmus Differentialgleichung Differenzengleichung Spezielle Funktion
url	https://doi.org/10.1007/978-1-4471-6464-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027389982&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027389982&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT koepfwolfram hypergeometricsummationanalgorithmicapproachtosummationandspecialfunctionidentities

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