DLMF:25.11.E45 (Q7719)

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Language	Label	Description	Also known as
English	DLMF:25.11.E45	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta'\left(-2,a\right)-\frac{1}{12}a+\frac{1}{9}a% ^{3}-\left(\frac{1}{6}a-\frac{1}{2}a^{2}+\frac{1}{3}a^{3}\right)\ln a\sim\sum_% {k=1}^{\infty}\frac{2B_{2k+2}}{(2k+2)(2k+1)2k(2k-1)}a^{-(2k-1)}.}}

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DLMF:25.11.E45

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Defining formula

{\displaystyle{\displaystyle B_{\NVar{n}}}}

C24.S2.SS1.m1aldec

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Hurwitz zeta function

Defining formula

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

C25.S11.E1.m2aardec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11abdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2aidec

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Defining formula

{\displaystyle{\displaystyle k}}

C25.S1.XMD1.m1ldec

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Defining formula

{\displaystyle{\displaystyle a}}

C25.S1.XMD6.m1aidec

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Sitelinks

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