On polynomial solutions of Heun equation

Details On polynomial solutions of Heun equation On polynomial solutions of Heun equation

2004-10-05

arxiv.org/abs/math-ph/0410015v1

J.Phys. A37 (2004) L605-L608

Physics

Mathematical Physics

4 pages, No figure

Scientific paper

10.1088/0305-4470/37/46/L01

By making use of a recently developed method to solve linear differential
equations of arbitrary order, we find a wide class of polynomial solutions to
the Heun equation. We construct the series solution to the Heun equation before
identifying the polynomial solutions. The Heun equation extended by the
addition of a term, $- \s/x$, is also amenable for polynomial solutions.

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