Computation of RS-pullback transformations for algebraic Painleve VI solutions

Details Computation of RS-pullback transformations for algebraic Painleve VI solutions Computation of RS-pullback transformations for algebraic Painleve VI solutions

2007-05-21

arxiv.org/abs/0705.2963v3

Mathematics

Classical Analysis and ODEs

18 pages; 7 figures; Schlesinger transformations (and some examples) are brought to the new paper http://arxiv.org/abs/0705.29

Scientific paper

Algebraic solutions of the sixth Painleve equation can be computed using pullback transformations of hypergeometric equations with respect to specially ramified rational coverings. In particular, as was noticed by the second author and Doran, some algebraic solutions can be constructed from a rational covering alone, without computation of the pullbacked Fuchsian equation. But the same covering can be used to pullback different hypergeometric equations, resulting in different algebraic Painleve VI solutions. This paper presents computations of explicit RS-pullback transformations, and derivation of algebraic Painleve VI solutions from them.

Affiliated with

Also associated with

No associations

Rating

Computation of RS-pullback transformations for algebraic Painleve VI solutions 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 Computation of RS-pullback transformations for algebraic Painleve VI solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computation of RS-pullback transformations for algebraic Painleve VI solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334948