DLMF:10.71.E3 (Q3904)

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Language	Label	Description	Also known as
English	DLMF:10.71.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int x(f_{\nu}\widehat{g}_{\nu}-g_{\nu}\widehat{f}% _{\nu})\mathrm{d}x=\frac{x}{2\sqrt{2}}\left(\widehat{f}_{\nu}(f_{\nu+1}+g_{\nu% +1})-\widehat{g}_{\nu}(f_{\nu+1}-g_{\nu+1})-f_{\nu}(\widehat{f}_{\nu+1}+% \widehat{g}_{\nu+1})+g_{\nu}(\widehat{f}_{\nu+1}-\widehat{g}_{\nu+1})\right)=% \tfrac{1}{2}x(f_{\nu}^{\prime}\widehat{f}_{\nu}-f_{\nu}\widehat{f}_{\nu}^{% \prime}+g_{\nu}^{\prime}\widehat{g}_{\nu}-g_{\nu}\widehat{g}^{\prime}_{\nu}),}}

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DLMF:10.71.E3

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Defining formula

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

C1.S4.SS4.m1abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1bdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1bdec

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Defining formula

{\displaystyle{\displaystyle f_{\nu}}}

C10.S63.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle g_{\nu}}}

C10.S63.XMD2.m1bdec

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Sitelinks

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