Recursive calculation of connection formulas for systems of differential equations of Okubo normal form

Details Recursive calculation of connection formulas for systems of differential equations of Okubo normal form Recursive calculation of connection formulas for systems of differential equations of Okubo normal form

2009-12-05

arxiv.org/abs/0912.1058v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We study the structure of analytic continuation of solutions of an even rank system of linear ordinary differential equations of Okubo normal form (ONF). We develop an adjustment of the method by using the Euler integral for evaluating the connection formulas of the Gauss hypergeometric function ${}_2F_1(\alpha, \beta, \gamma; x)$ to the system of ONF. We obtain recursive relations between connection coefficients for the system of ONF and ones for the underlying system of half rank.

Affiliated with

Also associated with

No associations

Rating

Recursive calculation of connection formulas for systems of differential equations of Okubo normal form 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 Recursive calculation of connection formulas for systems of differential equations of Okubo normal form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recursive calculation of connection formulas for systems of differential equations of Okubo normal form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83627