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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)
Resource Information
The item Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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 qanalogues 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 qhypergeometric) 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
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (290 p.)
 Note
 Description based upon print version of record
 Contents

 Introduction
 The Gamma Function
 Hypergeometric Identities
 Hypergeometric Database
 Holonomic Recurrence Equations
 Gosper’s Algorithm
 The WilfZeilberger 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
 Isbn
 9781447164647
 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
 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 qanalogues 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 qhypergeometric) 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
 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)
 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 WilfZeilberger 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
 10.1007/9781447164647
 Specific material designation
 remote
 System control number

 (CKB)3710000000143766
 (EBL)1781968
 (SSID)ssj0001276063
 (PQKBManifestationID)11951246
 (PQKBTitleCode)TC0001276063
 (PQKBWorkID)11239195
 (PQKB)10346409
 (DEHe213)9781447164647
 (EXLCZ)993710000000143766
 Label
 Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource)
 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 WilfZeilberger 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
 10.1007/9781447164647
 Specific material designation
 remote
 System control number

 (CKB)3710000000143766
 (EBL)1781968
 (SSID)ssj0001276063
 (PQKBManifestationID)11951246
 (PQKBTitleCode)TC0001276063
 (PQKBWorkID)11239195
 (PQKB)10346409
 (DEHe213)9781447164647
 (EXLCZ)993710000000143766
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/HypergeometricSummationAnAlgorithmic/wYTvJhPHwpc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/HypergeometricSummationAnAlgorithmic/wYTvJhPHwpc/">Hypergeometric Summation : An Algorithmic Approach to Summation and Special Function Identities, by Wolfram Koepf, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>