41 citations · 99 across the 4 of their papers we have counts for
5 papers
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…
A series solution of the general Heun equation in terms of incomplete Beta functions
A. M. Manukyan, T. A. Ishkhanyan, M. V. Hakobyan +1
We show that in the particular case when a characteristic exponent of the singularity at infinity is zero the solution of the general Heun equation can be expanded in terms of the…
Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
A. M. Ishkhanyan, A. E. Grigoryan
We derive 15 classes of time-dependent two-state models solvable in terms of the confluent Heun functions. These classes extend over all the known families of three- and two-parame…
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…
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…