Stokes matrices of hypergeometric integrals

Details Stokes matrices of hypergeometric integrals Stokes matrices of hypergeometric integrals

2007-12-11

arxiv.org/abs/0712.1707v1

Mathematics

Dynamical Systems

2 figures

Scientific paper

In this work we compute the Stokes matrices of the ordinary differential equation satisfied by the hypergeometric integrals associated to an arrangement of hyperplanes in generic position. This generalizes the computation done by Ramis and Duval for confluent hypergeometric functions, which correspond to the arrangement of two points on the line. The proof is based on an explicit description of a base of canonical solutions as integrals on the cones of the arrangement, and combinatorial relations between integrals on cones and on domains.

Affiliated with

Also associated with

No associations

Rating

Stokes matrices of hypergeometric integrals 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 Stokes matrices of hypergeometric integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stokes matrices of hypergeometric integrals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474355