DLMF:2.5.E7 (Q783)

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Language	Label	Description	Also known as
English	DLMF:2.5.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E(x)=\frac{1}{2\pi i}\int_{d-i\infty}^{d+i\infty}% 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)\mathrm{d}z.}}

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DLMF:2.5.E7

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Mellin transform

Defining formula

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

C1.S14.E32.m2aedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

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

C1.S4.SS4.m1addec

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Defining formula

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

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3addec

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Defining formula

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

C2.S5.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle h(x)}}

C2.S5.XMD6.m1ddec

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Defining formula

{\displaystyle{\displaystyle d}}

C2.S5.XMD7.m1adec

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Defining formula

{\displaystyle{\displaystyle E(x)}}

C2.S5.XMD8.m1adec

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Sitelinks

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