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
Contributor
Author
Provider
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 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
Image bit depth
0
LC call number
QA76.9.A43
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Mathematics
  • Differential Equations
  • Functions, special
  • Algorithms
  • Computer software
  • Combinatorics
  • Mathematics
  • 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
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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 -- 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. 2014.
Extent
XVII, 279 p. 5 illus., 3 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781447164647
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4471-6464-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4471-6464-7
Label
Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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 -- 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. 2014.
Extent
XVII, 279 p. 5 illus., 3 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781447164647
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4471-6464-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4471-6464-7

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