paper

Quasi-Periodic Solutions of Heun's Equation

arXiv:math-ph/0505077

Abstract

By exploiting a recently developed connection between Heun's differential equation and the generalized associated Lamé equation, we not only recover the well known periodic solutions, but also obtain a large class of new, quasi-periodic solutions of Heun's equation. Each of the quasi-periodic solutions is doubly degenerate.

13 pages, 0 figures

Quasi-Periodic Solutions of Heun's Equation · wovepaper