DLMF:10.71.E6 (Q3907): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aedec

Revision as of 14:33, 2 January 2020

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DLMF:10.71.E6
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    Statements

    x f ν g ν d x = 1 4 x 2 ( 2 f ν g ν - f ν - 1 g ν + 1 - f ν + 1 g ν - 1 ) , 𝑥 subscript 𝑓 𝜈 subscript 𝑔 𝜈 𝑥 1 4 superscript 𝑥 2 2 subscript 𝑓 𝜈 subscript 𝑔 𝜈 subscript 𝑓 𝜈 1 subscript 𝑔 𝜈 1 subscript 𝑓 𝜈 1 subscript 𝑔 𝜈 1 {\displaystyle{\displaystyle\int xf_{\nu}g_{\nu}\mathrm{d}x=\tfrac{1}{4}x^{2}% \left(2f_{\nu}g_{\nu}-f_{\nu-1}g_{\nu+1}-f_{\nu+1}g_{\nu-1}\right),}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aedec
    0 references