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Image of - Hypergeometric Summation | 2nd Edition | Paperback
Hypergeometric Summation | 2nd Edition | Paperback

Hypergeometric Summation | 2nd Edition | Paperback

by Koepf

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„¢.The algorithms of Fasenmyer, Gosper, Zeilberger, PetkovÅ¡ek 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.

Highlights

  • binding-icon

    9781447164630

    ISBN:

  • binding-icon

    Koepf

    Author:

  • binding-icon

    279

    Pages:

  • binding-icon

    210 gm

    Weight:

  • langauage-icon

    English

    Language:

  • date-icon

    2014

    Year:

  • edition-icon

    2nd Edition

    Edition:

  • binding-icon

    Paperback

    Binding:

₹6062

₹7578

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„¢.The algorithms of Fasenmyer, Gosper, Zeilberger, PetkovÅ¡ek 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.

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