DLMF:18.17.E38 (Q5779)

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Language	Label	Description	Also known as
English	DLMF:18.17.E38	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{1}P_{2n}\left(x\right)x^{z-1}\mathrm{d}x% =\frac{(-1)^{n}{\left(\frac{1}{2}-\frac{1}{2}z\right)_{n}}}{2{\left(\frac{1}{2% }z\right)_{n+1}}},}}

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DLMF:18.17.E38

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{\displaystyle{\displaystyle\Re z>0}}

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r10.m2aedec

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Defining formula

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

C5.S2.SS3.m1aadec

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Defining formula

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

C1.S4.SS4.m1aakdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aakdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1acdec

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Defining formula

{\displaystyle{\displaystyle z}}

C18.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1akdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1aidec

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Sitelinks

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