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arXiv · 1912.08623

Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations

T. A. Ishkhanyan·V. P. Krainov·A. M. Ishkhanyan
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Abstract

We show that there exist infinitely many nontrivial choices of parameters of the single confluent Heun equation for which the three-term recurrence relations governing the expansions of the solutions in terms of the confluent hypergeometric functions 1F1 and 0F1 are reduced to two-term ones. In such cases the expansion coefficients are explicitly calculated in terms of the Euler gamma functions.

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T. A. Ishkhanyan, V. P. Krainov, A. M. Ishkhanyan. 2019-12-17. Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations. https://doi.org/10.1088/1742-6596/1416/1/012014

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