41 citations · 44 across the 2 of their papers we have counts for
3 papers
math.CA2018
Generalized hypergeometric solutions of the Heun equation
A. M. Ishkhanyan
We present infinitely many solutions of the general Heun equation in terms of generalized hypergeometric functions. Each solution assumes that two restrictions are imposed on the i…
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…