DLMF:18.18.E3 (Q5793)

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Language	Label	Description	Also known as
English	DLMF:18.18.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle a_{n}=\left(n+\tfrac{1}{2}\right)\int_{-1}^{1}f(x% )P_{n}\left(x\right)\mathrm{d}x.}}

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DLMF:18.18.E3

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Defining formula

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

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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Defining formula

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

C14.S2.SS2.p2.m3adec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1bdec

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Defining formula

{\displaystyle{\displaystyle f(z)}}

C18.S18.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle a_{n}}}

C18.S18.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1adec

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