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20182021
most citedA note on the generalized-hypergeometric solutions of general and single-confluent Heun equations

8 citations · 8 across the 1 of their papers we have counts for

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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…