On evaluation of the confluent Heun functions
Numerical Analysis
2018-04-04 v1
Abstract
In this paper we consider the confluent Heun equation, which is a linear differential equation of second order with three singular points --- two of them are regular and the third one is irregular of rank 1. The purpose of the work is to propose a procedure for numerical evaluation of the equation's solutions (confluent Heun functions). A scheme based on power series, asymptotic expansions and analytic continuation is described. Results of numerical tests are given.
Cite
@article{arxiv.1804.01007,
title = {On evaluation of the confluent Heun functions},
author = {Oleg V. Motygin},
journal= {arXiv preprint arXiv:1804.01007},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1506.03848