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
Resource Information
The item Hypergeometric summation : an algorithmic approach to summation and special function identities, Wolfram Koepf represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Hypergeometric summation : an algorithmic approach to summation and special function identities, Wolfram Koepf represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Edition
- Second edition.
- Extent
- 1 online resource (xvii, 279 pages).
- 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
- Isbn
- 9781447164630
- 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
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Hypergeometric-summation--an-algorithmic/A1plTKN4woQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Hypergeometric-summation--an-algorithmic/A1plTKN4woQ/">Hypergeometric summation : an algorithmic approach to summation and special function identities, Wolfram Koepf</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
