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Volume 22, Issue 3
Computation of Hyperspherical Bessel Functions

Thomas Tram

DOI: 10.4208/cicp.OA-2016-0071

Commun. Comput. Phys., 22 (2017), pp. 852-862.

Published online: 2017-09

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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.

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COPYRIGHT: © Global Science Press

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@Article{CiCP-22-852, author = {Thomas Tram}, title = {Computation of Hyperspherical Bessel Functions}, journal = {Communications in Computational Physics}, year = {2017}, volume = {22}, number = {3}, pages = {852--862}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0071}, url = {http://global-sci.org/intro/article_detail/cicp/9984.html} }
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 -

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.

Thomas Tram. (2017). Computation of Hyperspherical Bessel Functions. Communications in Computational Physics. 22 (3). 852-862. doi:10.4208/cicp.OA-2016-0071
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