Hypergeometric Summation An Algorithmic Approach to Summation and Special Function Identities /

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, Petkovšek and van Hoeij for hypergeometric summation and recurrence equations...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Koepf, Wolfram (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2014.
Edición:2nd ed. 2014.
Colección:Universitext,
Temas:
Algorithms.
Computer software.
Special functions.
Differential equations.
Discrete mathematics.
Mathematical Software.
Special Functions.
Differential Equations.
Discrete Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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