DLMF:10.71.E3 (Q3904): Difference between revisions

Revision as of 14:33, 2 January 2020

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

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

C1.S4.SS4.m1abdec

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@@ Property / Symbols used @@
+Q10770
@@ Property / Symbols used: Q10770 / rank @@
+Normal rank
@@ Property / Symbols used: Q10770 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ 
\diff{\NVar{x}}
@@ Property / Symbols used: Q10770 / qualifier @@
+xml-id: C1.S4.SS4.m1abdec