8 citations · 8 across the 3 of their papers we have counts for
3 papers
math.CA2021★ 8 cited
A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations
D. Yu. Melikdzhanian, A. M. Ishkhanyan
We review the series solutions of the general and single-confluent Heun equations in terms of powers, ordinary-hypergeometric and confluent-hypergeometric functions. The conditions…
math.CA2019
Generalized-hypergeometric solutions of the biconfluent Heun equation
D. Yu. Melikdzhanian, A. M. Ishkhanyan
We examine the power-series solutions and the series solutions in terms of the Hermite functions for the biconfluent Heun equation. Infinitely many cases for which a solution of th…
cond-mat.quant-gas2009
Change in the adiabatic invariant in a nonlinear Landau-Zener problem
R. Sokhoyan, D. Melikdzhanian, C. Leroy +2
We study a nonlinear generalization of the Landau-Zener resonance-crossing problem relevant to coherent photo- and magneto-association of ultracold atoms. Due to the structure of t…