New solutions of Heun general equation

Details New solutions of Heun general equation New solutions of Heun general equation

2009-09-09

arxiv.org/abs/0909.1684v1

J. Phys. A: Math. Gen. 36, L81 (2003)

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/36/5/101

We show that in four particular cases the derivative of the solution of Heun general equation can be expressed in terms of a solution to another Heun equation. Starting from this property, we use the Gauss hypergeometric functions to construct series solutions to Heun equation for the mentioned cases. Each of the hypergeometric functions involved has correct singular behavior at only one of the singular points of the equation; the sum, however, has correct behavior.

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