New hypergeometric series solutions to the general Heun equation

Details New hypergeometric series solutions to the general Heun equation New hypergeometric series solutions to the general Heun equation

2009-09-07

arxiv.org/abs/0909.1286v2

J. Contemp. Phys. (Armenian Academy of Sciences) Vol. 40, No. 6, pp. 1-7 (2005)

Physics

Mathematical Physics

7 pages

Scientific paper

We introduce new hypergeometric series expansions of the solutions to the
general Heun equation. The form of the Gauss hypergeometric functions used as
expansion function differs from that used before. We derive three such
expansions and further generate, by termination of the series, closed-form
solutions for several sets of involved parameters.

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