13 citations · 21 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…
math-ph2018★ 13 cited
Generalized confluent hypergeometric solutions of the Heun confluent equation
T. A. Ishkhanyan, A. M. Ishkhanyan
We show that the Heun confluent equation admits infinitely many solutions in terms of the confluent generalized hypergeometric functions. For each of these solutions a characterist…