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New solutions of Heun general equation | | Artur Ishkhanyan
; Kalle-Antti Suominen
; | | Date: |
9 Sep 2009 | | Abstract: | 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. | | Source: | arXiv, 0909.1684 | | Services: | Forum | Review | PDF | Favorites | |
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