59 citations · 207 across the 16 of their papers we have counts for
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Hypergeometric expansions of the general Heun function governed by two-term recurrence relations
T. A. Ishkhanyan, A. M. Ishkhanyan
We show that there exist infinitely many particular choices of parameters for which the three-term recurrence relations governing the expansions of the solutions of the general Heu…
A series solution of the general Heun equation in terms of incomplete Beta functions
A. M. Manukyan, T. A. Ishkhanyan, M. V. Hakobyan +1
We show that in the particular case when a characteristic exponent of the singularity at infinity is zero the solution of the general Heun equation can be expanded in terms of the…
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…
Confluent hypergeometric expansions of the solutions of the double-confluent Heun equation
T. A. Ishkhanyan, V. A. Manukyan, A. H. Harutyunyan +1
Several expansions of the solutions of the double-confluent Heun equation in terms of the Kummer confluent hypergeometric functions are presented. Three different sets of these fun…
Expansions of the solutions to the confluent Heun equation in terms of the Kummer confluent hypergeometric functions
T. A. Ishkhanyan, A. M. Ishkhanyan
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…