33 citations · 71 across the 5 of their papers we have counts for
5 papers
Expansions of the solutions of the general Heun equation in terms of the incomplete Beta functions
T. A. Shahverdyan, V. M. Red'kov, A. M. Ishkhanyan
Applying the approach based on the equation for the derivative, we construct several expansions of the solutions of the general Heun equation in terms of the incomplete Beta functi…
Analytic solutions of the quantum two-state problem in terms of the double-, bi- and tri-confluent Heun functions
T. A. Shahverdyan, T. A. Ishkhanyan, A. E. Grigoryan +1
We derive five classes of quantum time-dependent two-state models solvable in terms of the double confluent Heun functions, five other classes solvable in terms of the biconfluent…
Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients
T. A. Ishkhanyan, T. A. Shahverdyan, A. M. Ishkhanyan
We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of…
Complete-return spectrum for a generalized Rosen-Zener two-state term-crossing model
T. A. Shahverdyan, D. S. Mogilevtsev, V. M. Red'kov +1
The general semiclassical time-dependent two-state problem is considered for a specific field configuration referred to as the generalized Rosen-Zener model. This is a rich family…
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…