Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations
arXiv:1912.08623 · doi:10.1088/1742-6596/1416/1/012014
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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