Exact computation of spherical harmonics

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1984 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 32, pages 365-378 (issn: 0010-485X, eissn: 1436-5057,

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Authors: Willi Freeden; Richard Reuter;

doi: 10.1007/bf02243779

Exact computation of spherical harmonics

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Abstract

Essential results of the theory of spherical harmonics are recapitulated by intrinsic properties of the space of homogeneous harmonic polynomials of degreen and dimensionq. The theoretical considerations are used to describe an alternate method to the conventional procedure of constructing spherical harmonics by recursion. The numerical efficiency is explained, examples are given for the threedimensional case.

Related Organizations

RWTH Aachen University
Germany

Keywords

numerical examples, Computation of special functions and constants, construction of tables, recursion, spherical harmonics, homogeneous harmonic polynomials, Spherical harmonics, truncation errors

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