DLMF:1.14.E40 (Q532)

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Language	Label	Description	Also known as
English	DLMF:1.14.E40	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int^{\infty}_{0}x^{s-1}(f*g)(x)\mathrm{d}x=% \mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(s\right)\mathscr{M}\mskip-3.0mu g% \mskip 3.0mu \left(s\right).}}

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DLMF:1.14.E40

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Mellin transform

Defining formula

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

C1.S14.E32.m2agdec

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Defining formula

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

C1.S4.SS4.m1aacdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aabdec

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convolution (Mellin) (locally)

Defining formula

{\displaystyle{\displaystyle*}}

C1.S14.XMD12.m1adec

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Sitelinks

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