DLMF:25.14.E1 (Q7740)

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No description defined

Language	Label	Description	Also known as
English	DLMF:25.14.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\Phi\left(z,s,a\right)\equiv\sum_{n=0}^{\infty}% \frac{z^{n}}{(a+n)^{s}}},}}

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DLMF:25.14.E1

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Symbols defined

Lerch’s transcendent

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{\displaystyle{\displaystyle\Re s>1,|z|=1}}

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{\displaystyle{\displaystyle|z|<1}}

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{\displaystyle{\displaystyle\Re s>1,|z|=1}}

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Defining formula

{\displaystyle{\displaystyle\equiv}}

introduction.Sx4.p1.t1.r9.m2adec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C25.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle a}}

C25.S1.XMD6.m1dec

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Defining formula

{\displaystyle{\displaystyle s}}

C25.S1.XMD7.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C25.S1.XMD8.m1dec

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Sitelinks

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