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Solutions of the bi-confluent Heun equation in terms of the Hermite functions

- T. Ishkhanyan, A. Ishkhanyan
- Mathematics, Physics
- 7 August 2016

Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients

- T. Ishkhanyan, T. Shahverdyan, A. Ishkhanyan
- MathematicsAdvances in High Energy Physics
- 31 March 2014

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 which differ from… Expand

NEW RELATIONS FOR THE DERIVATIVE OF THE CONFLUENT HEUN FUNCTION

- V. Shahnazaryan, T. Ishkhanyan, T. Shahverdyan, A. Ishkhanyan
- Physics, Mathematics
- 1 October 2012

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 that this occurs… Expand

Hypergeometric expansions of the solutions of the general Heun equation governed by two-term recurrence relations for expansion coefficients

- T. Ishkhanyan, T. Shahverdyan, A. Ishkhanyan
- Mathematics
- 31 March 2014

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 which differ from… Expand

Control of a double-cascade electromechanical system subject to perturbations

- I. M. Anan’evskii, T. Ishkhanyan
- Engineering
- 2016

Control of a turntable on a mobile base in the presence of perturbations

- I. M. Anan’evskii, T. Ishkhanyan
- Engineering
- 1 May 2016

Control of an electromechanical system consisting of two rigid bodies connected by an electric motor is considered. Both bodies can rotate about a common axis. This system is a simplified model of a… Expand

Control of a Rigid Body Carrying Dissipative Oscillators under Perturbations

- I. M. Anan’evskii, T. Ishkhanyan
- Engineering, MathematicsJournal of Computer and Systems Sciences…
- 2019

This paper considers a system consisting of a carrier body and two linear dissipative oscillators attached to it. The body moves in a straight horizontal line under the action of a bounded control… Expand

Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions

- A. Ishkhanyan, T. Shahverdyan, T. Ishkhanyan
- Physics
- 12 April 2014

We derive 35 five-parametric classes of the quantum time-dependent two-state models solvable in terms of the general Heun functions. Each of the classes is defined by a pair of generating functions… Expand

Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions

- T. Ishkhanyan, A. Ishkhanyan
- Mathematics
- 6 March 2014

We examine the series expansions of the solutions of the confluent Heun equation in terms of three different sets of the Kummer confluent hypergeometric functions. The coefficients of the expansions… Expand

Analytic solutions of the quantum two-state problem in terms of the double, bi- and triconfluent Heun functions

- T. Shahverdyan, T. Ishkhanyan, A. É. Grigoryan, A. Ishkhanyan
- Mathematics, Physics
- 1 December 2014

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 Heun functions, and… Expand

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