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The Resource Hypergeometric summation : an algorithmic approach to summation and special function identities, Wolfram Koepf

Hypergeometric summation : an algorithmic approach to summation and special function identities, Wolfram Koepf

Label
Hypergeometric summation : an algorithmic approach to summation and special function identities
Title
Hypergeometric summation
Title remainder
an algorithmic approach to summation and special function identities
Statement of responsibility
Wolfram Koepf
Creator
Author
Subject
Language
eng
Summary
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{u2122}. The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovšek 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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Koepf, Wolfram
Dewey number
515/.55
Index
index present
LC call number
QA353.H9
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Universitat
http://library.link/vocab/subjectName
  • Hypergeometric functions
  • Mathematical physics
  • Mathematics
  • Hypergeometric functions
  • Mathematical physics
  • Física matemática
Label
Hypergeometric summation : an algorithmic approach to summation and special function identities, Wolfram Koepf
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- Petkovšek's and Van Hoeij's Algorithm -- Differential Equations for Sums -- Hyperexponential Antiderivatives -- Holonomic Equations for Integrals -- Rodrigues Formulas and Generating Functions
Control code
881476472
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xvii, 279 pages).
File format
unknown
Form of item
online
Isbn
9781447164630
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-6464-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)881476472
Label
Hypergeometric summation : an algorithmic approach to summation and special function identities, Wolfram Koepf
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 -- Petkovšek's and Van Hoeij's Algorithm -- Differential Equations for Sums -- Hyperexponential Antiderivatives -- Holonomic Equations for Integrals -- Rodrigues Formulas and Generating Functions
Control code
881476472
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xvii, 279 pages).
File format
unknown
Form of item
online
Isbn
9781447164630
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-6464-7
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)881476472

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