Darboux evaluations of algebraic Gauss hypergeometric functions

Details Darboux evaluations of algebraic Gauss hypergeometric functions Darboux evaluations of algebraic Gauss hypergeometric functions

2005-04-13

arxiv.org/abs/math/0504264v1

Mathematics

Classical Analysis and ODEs

36 pages

Scientific paper

This paper presents explicit expressions for algebraic Gauss hypergeometric functions. We consider solutions of hypergeometric equations with the tetrahedral, octahedral and icosahedral monodromy groups. Conceptually, we pull-back such a hypergeometric equation onto its {\em Darboux curve} so that the pull-backed equation has a cyclic monodromy group. Minimal degree of the pull-back coverings is 4, 6 or 12 (for the three monodromy groups, respectively). In explicit terms, we replace the independent variable by a rational function of degree 4, 6 or 12, and transform hypergeometric functions to radical functions.

Affiliated with

Also associated with

No associations

Rating

Darboux evaluations of algebraic Gauss hypergeometric functions 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 Darboux evaluations of algebraic Gauss hypergeometric functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Darboux evaluations of algebraic Gauss hypergeometric functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249890