Degenerate and dihedral Heun functions with parameters
Classical Analysis and ODEs
2014-02-05 v2
Abstract
Just as with the Gauss hypergeometric function, particular cases of the local Heun function can be Liouvillian (that is, "elementary") functions. One way to obtain these functions is by pull-back transformations of Gauss hypergeometric equations with Liouvillian solutions. This paper presents the Liouvillian solutions of Heun's equations that are pull-backs of the parametric hypergeometric equations with cyclic or dihedral monodromy groups.
Cite
@article{arxiv.1309.7656,
title = {Degenerate and dihedral Heun functions with parameters},
author = {Raimundas Vidunas},
journal= {arXiv preprint arXiv:1309.7656},
year = {2014}
}
Comments
10 pages; 1 figure; proofs improved, text corrected