DLMF:14.30.E2 (Q4964)

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Language	Label	Description	Also known as
English	DLMF:14.30.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle Y_{l}^{m}\left(\theta,\phi\right)=\cos\left(m\phi% \right)\mathsf{P}^{m}_{l}\left(\cos\theta\right)\text{ or }\sin\left(m\phi% \right)\mathsf{P}^{m}_{l}\left(\cos\theta\right).}}

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DLMF:14.30.E2

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Symbols defined

surface harmonic of the first kind

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Ferrers function of the first kind

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E1.m2aadec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S30.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle l}}

C14.S30.XMD2.m1adec

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Sitelinks

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