DLMF:25.14.E5 (Q7744): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:25.14.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Phi\left(z,s,a\right)=\frac{1}{\Gamma\left(s% \right)}\int_{0}^{\infty}\frac{x^{s-1}e^{-ax}}{1-ze^{-x}}\mathrm{d}x,}}

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DLMF:25.14.E5

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{\displaystyle{\displaystyle\Re s>0}}

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{\displaystyle{\displaystyle\Re a>0}}

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{\displaystyle{\displaystyle z\in\mathbb{C}\setminus[1,\infty)}}

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Defining formula

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

C5.S2.E1.m2adec

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Lerch’s transcendent

Defining formula

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

C25.S14.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle[\NVar{a},\NVar{b})}}

introduction.Sx4.p2.t1.r1.m4adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{C}}}

introduction.Sx4.p1.t1.r1.m2adec

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Defining formula

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

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2adec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Sitelinks

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