Gröbner Deformations of Hypergeometric Differential Equations

by Nobuki Takayama, Bernd Sturmfels, Mutsumi Saito

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: Paperback
• Language: English
• ISBN: 3642085342
• ISBN13: 9783642085345
• Release Date: August 2011
• Publisher: Springer
• Length: 254 Pages
• Weight: 0.82 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"