DLMF:25.11.E17 (Q7691)

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Language	Label	Description	Also known as
English	DLMF:25.11.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\partial}{\partial a}\zeta\left(s,a\right)=-% s\zeta\left(s+1,a\right),}}

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DLMF:25.11.E17

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

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{\displaystyle{\displaystyle s\neq 0,1}}

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

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Hurwitz zeta function

Defining formula

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

C25.S11.E1.m2ardec

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partial derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

C1.S5.E3.m4adec

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partial differential of $$x$$

Defining formula

{\displaystyle{\displaystyle\partial\NVar{x}}}

C1.S5.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1afdec

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Defining formula

{\displaystyle{\displaystyle a}}

C25.S1.XMD6.m1odec

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Sitelinks

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