DLMF:5.7.E3 (Q2079): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:5.7.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\ln\Gamma\left(1+z\right)=-\ln\left(1+z\right)+z(1% -\gamma)+\sum_{k=2}^{\infty}(-1)^{k}(\zeta\left(k\right)-1)\frac{z^{k}}{k},}}

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DLMF:5.7.E3

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{\displaystyle{\displaystyle|z|<2}}

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Defining formula

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

C5.S2.E1.m2aadec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2aadec

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Riemann zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

C25.S2.E1.m2aadec

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Sitelinks

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