DLMF:1.14.E9 (Q501): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: Fourier cosine transform / rank
 
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Revision as of 14:53, 30 December 2019

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DLMF:1.14.E9
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    c ( f ) ( x ) = c f ( x ) = 2 π 0 f ( t ) cos ( x t ) d t , Fourier-cosine-transform 𝑓 𝑥 Fourier-cosine-transform 𝑓 𝑥 2 𝜋 subscript superscript 0 𝑓 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\mathscr{F}_{\mskip-3.0mu c}\left(f\right)\left(x% \right)=\mathscr{F}_{\mskip-3.0mu c}\mskip-1.0mu f\mskip 3.0mu \left(x\right)=% \sqrt{\frac{2}{\pi}}\int^{\infty}_{0}f(t)\cos\left(xt\right)\mathrm{d}t,}}
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