New Relations Among Associated Legendre Functions and Spherical Harmonics

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New Relations Among Associated Legendre Functions and Spherical Harmonics

Several new relations among associated Legendre functions (ALFs) are derived, most of which relate a product of an ALF with trigonometric functions to a weighted summation over ALFs, where the weights only depend on the degree and order of the ALF. These relations are, for example, useful in applica...

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Bibliographic Details
Main Author:	Claessens, Sten
Format:	Journal Article
Published:	Springer - Verlag 2005
Subjects:	Spherical Harmonics Associated Legendre Functions
Online Access:	http://hdl.handle.net/20.500.11937/19446

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