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

by Wolfram Koepf

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.

• Format: Paperback
• Language: English
• ISBN: 1447164636
• ISBN13: 9781447164630
• Release Date: June 2014
• Publisher: Springer
• Length: 279 Pages
• Weight: 0.93 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"