Computation of hyperspherical Bessel functions

Research paper by Thomas Tram

Indexed on: 04 Nov '13Published on: 04 Nov '13Published in: arXiv - Astrophysics - Instrumentation and Methods for Astrophysics


In this paper we present a fast and accurate numerical algorithm for the computation of hyperspherical Bessel functions of high 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. All our algorithms are written in C and are publicly available, see the conclusion for web page.