Physics – Mathematical Physics
Scientific paper
2008-12-12
Physics
Mathematical Physics
14 pages, 5 figures
Scientific paper
The classical Heun equation has the form {Q(z) d^2/dz^2 +P(z) d/dz +V(z)}S(z)=0 where Q(z) is a cubic, P(z) at most quadratic and V(z) linear polynomials resp. In the second half of the 19-th century E.Heine and T.STieltjes initiated the study of the set of all V(z) such that the above equation has a polynomial solution S(z) of a given degree n. The main goal of the present paper is to study the union of the roots of the latter set of V(z)*s when n->oo. We formulate an intriguing conjecture of K.Takemura describing the limiting set and give a substantial amount of additional information.
Shapiro Boris
Tater Milos
No associations
LandOfFree
On spectral polynomials of the Heun equation 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 On spectral polynomials of the Heun equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On spectral polynomials of the Heun equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-609922