DLMF:1.14.E36 (Q528)

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Language	Label	Description	Also known as
English	DLMF:1.14.E36	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int^{\infty}_{0}f(x)g(yx)\mathrm{d}x=\frac{1}{2% \pi i}\*\int^{\sigma+i\infty}_{\sigma-i\infty}y^{-s}\mathscr{M}\mskip-3.0mu f% \mskip 3.0mu \left(1-s\right)\mathscr{M}\mskip-3.0mu g\mskip 3.0mu \left(s% \right)\mathrm{d}s,}}

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DLMF:1.14.E36

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Mellin transform

Defining formula

{\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}

C1.S14.E32.m2addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2amdec

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Defining formula

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

C1.S4.SS4.m1aydec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3axdec

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Defining formula

{\displaystyle{\displaystyle\sigma\in(a,b)}}

C1.S14.XMD11.m1ddec

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Sitelinks

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