Generalized confluent hypergeometric solutions of the Heun confluent equation
Mathematical Physics
2018-07-20 v1 math.MP
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.
Cite
@article{arxiv.1807.07426,
title = {Generalized confluent hypergeometric solutions of the Heun confluent equation},
author = {T. A. Ishkhanyan and A. M. Ishkhanyan},
journal= {arXiv preprint arXiv:1807.07426},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1802.04263