Gröbner Deformations of Hypergeometric Differential Equations

by Nobuki Takayama, Mutsumi Saito, Bernd Sturmfels

Book Overview

In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gr bner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Gr bner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced...

• Format: Hardcover
• Language: English
• ISBN: 3540660658
• ISBN13: 9783540660651
• Release Date: November 1999
• Publisher: Springer
• Length: 254 Pages
• Weight: 1.01 lbs.
• Dimensions: 0.8" x 6.4" x 9.5"