Generalized confluent hypergeometric solutions of the Heun confluent equation
arXiv:1807.07426 · doi:10.1016/j.amc.2018.06.053
Abstract
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 characteristic exponent of a regular singularity of the Heun confluent equation is a non-zero integer and the accessory parameter obeys a polynomial equation. Each of the solutions can be written as a linear combination with constant coefficients of a finite number of either the Kummer confluent hypergeometric functions or the Bessel functions.
arXiv admin note: text overlap with arXiv:1802.04263
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Cited by in corpus (4)
- Generalized confluent hypergeometric solutions of the Heun confluent equation
- Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations
- Charged scalar fields in a Kerr-Sen black hole: exact solutions, Hawking radiation, and resonant frequencies
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