DLMF:14.18.E3 (Q4904)

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Language	Label	Description	Also known as
English	DLMF:14.18.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}_{\nu}\left(\cos\theta_{1}\cos\theta_{2}% +\sin\theta_{1}\sin\theta_{2}\cos\phi\right)=\mathsf{P}_{\nu}\left(\cos\theta_% {1}\right)\mathsf{Q}_{\nu}\left(\cos\theta_{2}\right)+2\sum_{m=1}^{\infty}(-1)% ^{m}\mathsf{P}^{-m}_{\nu}\left(\cos\theta_{1}\right)\mathsf{Q}^{m}_{\nu}\left(% \cos\theta_{2}\right)\cos\left(m\phi\right).}}

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DLMF:14.18.E3

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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.m2abdec

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Ferrers function of the second kind

Defining formula

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

C14.S3.E2.m2adec

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cosine function

Defining formula

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

C4.S14.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathsf{P}_{\NVar{\nu}}\left(\NVar{x}\right)=% \mathsf{P}^{0}_{\nu}\left(x\right)}}

C14.S2.SS2.p2.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathsf{Q}_{\NVar{\nu}}\left(\NVar{x}\right)=% \mathsf{Q}^{0}_{\nu}\left(x\right)}}

C14.S2.SS2.p2.m4adec

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Defining formula

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

C4.S14.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1bdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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