TY - JOUR
T1 - Computation of Hyperspherical Bessel Functions
AU - Thomas Tram
JO - Communications in Computational Physics
VL - 3
SP - 852
EP - 862
PY - 2017
DA - 2017/09
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2016-0071
UR - https://global-sci.org/intro/article_detail/cicp/9984.html
KW - 
AB - <p style="text-align: justify;">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.</p>