DLMF:14.17.E9 (Q4890)

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Language	Label	Description	Also known as
English	DLMF:14.17.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{-1}^{1}\frac{\mathsf{P}^{l}_{n}\left(x\right% )\mathsf{P}^{-m}_{n}\left(x\right)}{1-x^{2}}\mathrm{d}x=\frac{(-1)^{l}}{l}% \delta_{l,m},}}

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DLMF:14.17.E9

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{\displaystyle{\displaystyle l>0}}

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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.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1ahdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ahdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1hdec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1cdec

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Sitelinks

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