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Computation of hyperspherical Bessel functions

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arxiv 1311.0839 v2 pith:4DTRZDHV submitted 2013-11-04 astro-ph.IM astro-ph.COphysics.comp-ph

Computation of hyperspherical Bessel functions

classification astro-ph.IM astro-ph.COphysics.comp-ph
keywords besselfunctionshypersphericalalgorithmavailablecomputationgithubaccurate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. CAMB v2: cosmological power spectra for high-precision surveys

    astro-ph.CO 2026-07 accept novelty 7.0

    CAMB v2's default settings produce lensed CMB and matter power spectra converged to 10^-3 over survey-relevant scales, using a new flat-Bessel mapping for hyperspherical Bessel functions.

  2. Area Scaling of Dynamical Degrees of Freedom in Regularised Scalar Field Theory

    hep-th 2026-02 unverdicted novelty 6.0

    The minimal number of dynamical degrees of freedom in regularised scalar field theory scales with area, governed by the count of distinct normal-mode frequencies below the ultraviolet cutoff.