Quasi-Periodic Solutions of Heun's Equation

Details Quasi-Periodic Solutions of Heun's Equation Quasi-Periodic Solutions of Heun's Equation

2005-05-30

arxiv.org/abs/math-ph/0505077v1

Physics

Mathematical Physics

13 pages, 0 figures

Scientific paper

By exploiting a recently developed connection between Heun's differential
equation and the generalized associated Lam\'e 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.

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