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math-ph2009★ 41 cited
New solutions of Heun general equation
Artur Ishkhanyan, Kalle-Antti Suominen
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 p…
math-ph2009★ 3 cited
New hypergeometric series solutions to the general Heun equation
R. Sokhoyan, D. Melikdzanian, A. Ishkhanyan
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 f…