DLMF:18.17.E44 (Q5785)

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Language	Label	Description	Also known as
English	DLMF:18.17.E44	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{-1}^{1}\frac{P_{n}\left(x\right)-P_{n}\left(% t\right)}{|x-t|}\mathrm{d}t=2\left(1+\tfrac{1}{2}+\dots+\tfrac{1}{n}\right)P_{% n}\left(x\right),}}

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DLMF:18.17.E44

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{\displaystyle{\displaystyle-1\leq x\leq 1}}

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Defining formula

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

C18.S3.T1.t1.r10.m2agdec

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Defining formula

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

C1.S4.SS4.m1aaqdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aaodec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1aqdec

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