Solid harmonics

id: solid-harmonics-302-13531659
title: Solid harmonics
text: In physics and mathematics, the solid harmonics are solutions of the Laplace equation in spherical polar coordinates, assumed to be (smooth) functions R 3 → C . There are two kinds: the regular solid harmonics R ℓ m , which are well-defined at the origin and the irregular solid harmonics I ℓ m , which are singular at the origin. Both sets of functions play an important role in potential theory, and are obtained by rescaling spherical harmonics appropriately:
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Solid_harmonics
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date modified: 2022-11-20T01:55:57Z
main entity: {"identifier":"Q7557904","url":"https://www.wikidata.org/entity/Q7557904"}
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