Computation of hyperspherical Bessel functions
Instrumentation and Methods for Astrophysics
2017-06-27 v2 Cosmology and Nongalactic Astrophysics
Computational Physics
Abstract
In this paper we present a fast and accurate numerical algorithm for the computation of hyperspherical Bessel functions of large order and real arguments. For the hyperspherical Bessel functions of closed type, no stable algorithm existed so far due to the lack of a backwards recurrence. We solved this problem by establishing a relation to Gegenbauer polynomials. All our algorithms are written in C and are publicly available at Github [https://github.com/lesgourg/class_public]. A Python wrapper is available upon request.
Keywords
Cite
@article{arxiv.1311.0839,
title = {Computation of hyperspherical Bessel functions},
author = {Thomas Tram},
journal= {arXiv preprint arXiv:1311.0839},
year = {2017}
}
Comments
13 pages, 3 figures. Accepted for publication in Communications in Computational Physics