Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900691 | Applied Mathematics and Computation | 2018 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
T.A. Ishkhanyan, A.M. Ishkhanyan,