DLMF:2.5.E41 (Q817)

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Language	Label	Description	Also known as
English	DLMF:2.5.E41	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{1}(x)=\mathscr{M}\mskip-3.0mu h_{1}\mskip 3.0% mu \left(1\right)x^{-1}+\frac{1}{2\pi i}\int_{\rho-i\infty}^{\rho+i\infty}x^{-% z}\Gamma\left(1-z\right)\mathscr{M}\mskip-3.0mu h_{1}\mskip 3.0mu \left(z% \right)\mathrm{d}z,}}

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DLMF:2.5.E41

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2addec

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Mellin transform

Defining formula

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

C1.S14.E32.m2aodec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aidec

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Defining formula

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

C1.S4.SS4.m1aldec

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Defining formula

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

C1.S9.E1.m2aidec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aldec

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Defining formula

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

C2.S5.XMD16.m1mdec

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Defining formula

{\displaystyle{\displaystyle I_{j}(x)}}

C2.S5.XMD25.m1cdec

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Sitelinks

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