DLMF:2.5.E6 (Q782)

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Language	Label	Description	Also known as
English	DLMF:2.5.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I(x)=\sum\limits_{d<\Re z<c}\Residue\left[x^{-z}% \mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-z\right)\mathscr{M}\mskip-3.0mu % h\mskip 3.0mu \left(z\right)\right]+E(x),}}

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DLMF:2.5.E6

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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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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1adec

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Defining formula

{\displaystyle{\displaystyle\Residue}}

C1.S10.SS3.p5.m4adec

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Defining formula

{\displaystyle{\displaystyle f(x)}}

C2.S5.XMD1.m1edec

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Sitelinks

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