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math-ph2014★ 7 cited
The Appell hypergeometric expansions of the solutions of the general Heun equation
A. M. Ishkhanyan
Starting from the equation obeyed by the derivative, we construct several expansions of the solutions of the general Heun equation in terms of the Appell generalized hypergeometric…
math-ph2014★ 14 cited
New relations for the derivative of the confluent Heun function
V. A. Shahnazaryan, T. A. Ishkhanyan, T. A. Shahverdyan +1
The cases when the equation for the derivative of the confluent Heun function has only three singularities (in general, the equation has four such points) are examined. It is shown…