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Computation of Hyperspherical Bessel Functions

Published online by Cambridge University Press:  06 July 2017

Thomas Tram*
Affiliation:
Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, 8000 Aarhus C, Denmark
*
*Corresponding author. Email address:[email protected] (T. Tram)
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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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2017 

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Footnotes

Communicated by Jie Shen

References

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