The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations

Details The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations

2005-08-04

arxiv.org/abs/math/0508093v1

Mathematics

Classical Analysis and ODEs

24 pages

Scientific paper

We obtain isomonodromic transformations for Heun's equation by generalizing Darboux transformation, and we find pairs and triplets of Heun's equation which have the same monodromy structure. By composing generalized Darboux transformations, we establish a new construction of the commuting operator which ensures finite-gap property. As an application, we prove conjectures in part III.

Affiliated with

Also associated with

No associations

Rating

The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-614794