DLMF:2.5.E42 (Q818)

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No description defined

Language	Label	Description	Also known as
English	DLMF:2.5.E42	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I_{2}(x)=\sum_{\Re\beta_{0}\leq\Re z\leq 1}% \Residue\left[-x^{-z}\Gamma\left(1-z\right)\mathscr{M}\mskip-3.0mu h_{2}\mskip 3% .0mu \left(z\right)\right]+\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_{2}\mskip 3.0mu \left(z% \right)\mathrm{d}z.}}

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DLMF:2.5.E42

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Defining formula

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

C5.S2.E1.m2aedec

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Mellin transform

Defining formula

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

C1.S14.E32.m2apdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

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

C1.S4.SS4.m1amdec

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Defining formula

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

C1.S9.E1.m2ajdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3amdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1afdec

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Defining formula

{\displaystyle{\displaystyle\Residue}}

C1.S10.SS3.p5.m4acdec

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Defining formula

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

C2.S5.XMD16.m1ndec

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Defining formula

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

C2.S5.XMD25.m1ddec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C2.S5.XMD27.m1adec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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