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

• Main Author: Koepf, Wolfram (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2014.
• Edition: 2nd ed. 2014.
• Series: Universitext,
• Subjects: Mathematics.; Differential equations.; Special functions.; Algorithms.; Computer software.; Combinatorics.; Mathematical Software.; Special Functions.; Ordinary Differential Equations.

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,...