DLMF:25.14.E3 (Q7742)

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No description defined

Language	Label	Description	Also known as
English	DLMF:25.14.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Li}_{s}\left(z\right)=z\Phi\left(z,s,1% \right),}}

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DLMF:25.14.E3

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{\displaystyle{\displaystyle\Re s>1}}

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{\displaystyle{\displaystyle\Re s>1}}

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{\displaystyle{\displaystyle|z|\leq 1}}

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Lerch’s transcendent

Defining formula

{\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}

C25.S14.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{Li}_{\NVar{s}}\left(\NVar{z}\right)}}

C25.S12.E10.m2adec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1abdec

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Defining formula

{\displaystyle{\displaystyle s}}

C25.S1.XMD7.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C25.S1.XMD8.m1adec

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Sitelinks

Wikipedia(0 entries)

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