DLMF:1.14.E41 (Q533): Difference between revisions

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Property / Symbols used: Q10895 / rank
 
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Property / Symbols used: Q10895 / qualifier
 
test:

( f ) ( x ) Hilbert-transform 𝑓 𝑥 {\displaystyle{\displaystyle\mathcal{H}\left(\NVar{f}\right)\left(\NVar{x}% \right)}}

\Hilberttrans@{\NVar{f}}@{\NVar{x}}
Property / Symbols used: Q10895 / qualifier
 
xml-id: C1.S14.SS5.p1.m2adec

Revision as of 15:26, 1 January 2020

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DLMF:1.14.E41
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    ( f ) ( x ) = f ( x ) = 1 π - f ( t ) t - x d t , Hilbert-transform 𝑓 𝑥 Hilbert-transform 𝑓 𝑥 1 𝜋 subscript superscript principal-value-integral 𝑓 𝑡 𝑡 𝑥 𝑡 {\displaystyle{\displaystyle\mathcal{H}\left(f\right)\left(x\right)=\mathcal{H% }\mskip-3.0mu f\mskip 3.0mu \left(x\right)=\frac{1}{\pi}\pvint^{\infty}_{-% \infty}\frac{f(t)}{t-x}\mathrm{d}t,}}
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    ( f ) ( x ) Hilbert-transform 𝑓 𝑥 {\displaystyle{\displaystyle\mathcal{H}\left(\NVar{f}\right)\left(\NVar{x}% \right)}}
    C1.S14.SS5.p1.m2adec
    0 references