Get started
Author

Tigran A. Ishkhanyan

Solutions of the bi-confluent Heun equation in terms of the Hermite functions
2017 · T.A. Ishkhanyan, A.M. Ishkhanyan · Annals of Physics · 60
PDF
Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions
2015 · Artur M. Ishkhanyan, Tigran A. Shahverdyan, et al. · The European Physical Journal D · 48
PDF
Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients
2018 · T. A. Ishkhanyan, T. A. Shahverdyan, et al. · Advances in High Energy Physics · 40
PDF
Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions
2014 · T. A. Ishkhanyan, A. M. Ishkhanyan · AIP Advances · 35
Analytic solutions of the quantum two-state problem in terms of the double, bi- and triconfluent Heun functions
2015 · T. A. Shahverdyan, T. A. Ishkhanyan, et al. · Journal of Contemporary Physics (Armenian Academy of Sciences) · 33
PDF
Four five‐parametric and five four‐parametric independent confluent Heun potentials for the stationary Klein‐Gordon equation
2016 · A.S. Tarloyan, T.A. Ishkhanyan, et al. · Annalen der Physik · 21
PDF
New relations for the derivative of the confluent Heun function
2014 · Shahnazaryan, V. A., Ishkhanyan, T. A., et al. · arXiv (Cornell University) · 18
PDF
Generalized confluent hypergeometric solutions of the Heun confluent equation
2018 · T.A. Ishkhanyan, A.M. Ishkhanyan · Applied Mathematics and Computation · 14
PDF
Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations
2019 · T A Ishkhanyan, V P Krainov, et al. · Journal of Physics Conference Series · 12
PDF
Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions
2016 · T. A. Ishkhanyan, Y. Pashayan-Leroy, et al. · Journal of Contemporary Physics (Armenian Academy of Sciences) · 9
PDF
Control of a turntable on a mobile base in the presence of perturbations
2016 · I. M. Anan’evskii, T. A. Ishkhanyan · Journal of Computer and Systems Sciences International · 9
Control of a Rigid Body Carrying Dissipative Oscillators under Perturbations
2019 · I. M. Anan’evskii, T. A. Ishkhanyan · Journal of Computer and Systems Sciences International · 8
A Conditionally Integrable Bi-confluent Heun Potential Involving Inverse Square Root and Centrifugal Barrier Terms
2018 · Tigran A. Ishkhanyan, Vladimir P. Krainov, et al. · Zeitschrift für Naturforschung A · 7
PDF
Two-state model of a general Heun class with periodic level-crossings
2017 · G. Saget, А. М. Ishkhanyan, et al. · Journal of Contemporary Physics (Armenian Academy of Sciences) · 6
PDF
A series solution of the general Heun equation in terms of incomplete Beta functions
2014 · Manukyan, A. M., Ishkhanyan, T. A., et al. · arXiv (Cornell University) · 6
PDF
Confluent hypergeometric expansions of the solutions of the double-confluent Heun equation
2014 · Ishkhanyan, T. A., Manukyan, V. A., et al. · arXiv (Cornell University) · 6
PDF
Inverse square root level-crossing quantum two-state model
2020 · T A Ishkhanyan, A V Papoyan, et al. · Laser Physics Letters · 4
PDF
A Schrödinger Potential Conditionally Integrable in Terms of the Hermite Functions
2018 · T. A. Ishkhanyan, A. M. Ishkhanyan · Physics of Atomic Nuclei · 4
A New Level-Crossing Two-State Model Solvable in Terms of Hypergeometric Functions
2021 · T. A. Shahverdyan, T. A. Ishkhanyan, et al. · Journal of Contemporary Physics (Armenian Academy of Sciences) · 3
A Lambert-W Exactly Solvable Level-Crossing Confluent Hypergeometric Two-State Model
2019 · Т. А. Ishkhanyan · Journal of Contemporary Physics (Armenian Academy of Sciences) · 3
Control of a double-cascade electromechanical system subject to perturbations
2016 · I.M. Anan’evskii, T.A. Ishkhanyan · Journal of Applied Mathematics and Mechanics · 3
Control of a Two-Body Precision Turntable Electromechanical System in the Presence of Friction**This work was supported by the Russian Foundation for Basic Research (projects no. 14-01-00356 and no. 14-01-00476) and the Program for Government Support of the Leading Scientific Schools of the Russian Federation (project NSh-2710.2014.1). T.A. Ishkhanyan acknowledges the Dynasty Foundation for a Stipend Program as well as the support from SPIE through a 2015 Scholarship.
2015 · Igor M. Ananyevski, Tigran A. Ishkhanyan · IFAC-PapersOnLine · 3
A New Non-Symmetric Modification of the Second Demkov–Kunike Model
2023 · A. M. Ghazaryan, T. A. Ishkhanyan, et al. · Lobachevskii Journal of Mathematics · 2
A conditionally integrable Schrödinger potential of a bi-confluent Heun class
2018 · T A Ishkhanyan, A M Manukyan, et al. · Journal of Physics Conference Series · 2
PDF
A Coulomb-spheroidal Kronig-Penney lattice: Exact Floquet reduction and interface-controlled band collapse
2026 · T.A. Ishkhanyan, A.M. Ishkhanyan · Annals of Physics · 1
Works count: 36
Citation count: 362
H-index: 9
I10-index: 9
Year
Topic
Type