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Hypergeometric Summation|Wolfram Koepf

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

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Overview

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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Details

  • ISBN-13: 9781447164630
  • ISBN-10: 1447164636
  • Publisher: Springer
  • Publish Date: June 2014
  • Dimensions: 9.21 x 6.14 x 0.63 inches
  • Shipping Weight: 0.93 pounds
  • Page Count: 279

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