The Resource Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource)

Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource)

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
by Wolfram Koepf
Creator
Author
Author
Subject
Language
  • eng
  • 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 MapleTM. 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
http://library.link/vocab/creatorName
Koepf, Wolfram
Dewey number
511.352
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
zt7Qri890EI
Language note
English
LC call number
QA76.9.A43
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Algorithms
  • Computer software
  • Functions, special
  • Differential Equations
  • Combinatorics
  • Algorithms
  • Mathematical Software
  • Special Functions
  • Ordinary Differential Equations
  • Combinatorics
Label
Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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 -- Petkovˇsek’s and Van Hoeij’s Algorithm -- Differential Equations for Sums -- Hyperexponential Antiderivatives -- Holonomic Equations for Integrals -- Rodrigues Formulas and Generating Functions
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (290 p.)
Form of item
online
Isbn
9781447164647
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4471-6464-7
Specific material designation
remote
System control number
  • (CKB)3710000000143766
  • (EBL)1781968
  • (SSID)ssj0001276063
  • (PQKBManifestationID)11951246
  • (PQKBTitleCode)TC0001276063
  • (PQKBWorkID)11239195
  • (PQKB)10346409
  • (DE-He213)978-1-4471-6464-7
  • (EXLCZ)993710000000143766
Label
Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
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 -- Petkovˇsek’s and Van Hoeij’s Algorithm -- Differential Equations for Sums -- Hyperexponential Antiderivatives -- Holonomic Equations for Integrals -- Rodrigues Formulas and Generating Functions
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (290 p.)
Form of item
online
Isbn
9781447164647
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4471-6464-7
Specific material designation
remote
System control number
  • (CKB)3710000000143766
  • (EBL)1781968
  • (SSID)ssj0001276063
  • (PQKBManifestationID)11951246
  • (PQKBTitleCode)TC0001276063
  • (PQKBWorkID)11239195
  • (PQKB)10346409
  • (DE-He213)978-1-4471-6464-7
  • (EXLCZ)993710000000143766

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