DLMF:14.12.E7 (Q4828)

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Language	Label	Description	Also known as
English	DLMF:14.12.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{m}_{\nu}\left(x\right)=\frac{{\left(\nu+1% \right)_{m}}}{\pi}\*\int_{0}^{\pi}\left(x+\left(x^{2}-1\right)^{1/2}\cos\phi% \right)^{\nu}\cos\left(m\phi\right)\mathrm{d}\phi,}}

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DLMF:14.12.E7

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Defining formula

{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1abdec

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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

C1.S4.SS4.m1afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3afdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1ddec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1dec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1fdec

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