DLMF:23.11.E3 (Q7322)

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Language	Label	Description	Also known as
English	DLMF:23.11.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(z\right)=\frac{1}{z}+\int_{0}^{\infty}% \left(e^{-s}\left(zs-\sinh\left(zs\right)\right)f_{1}(s,\tau)-e^{i\tau s}\left% (zs-\sin\left(zs\right)\right)f_{2}(s,\tau)\right)\mathrm{d}s,}}

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DLMF:23.11.E3

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Defining formula

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

C23.S2.E5.m2adec

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Defining formula

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

C1.S4.SS4.m1aadec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2abdec

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hyperbolic sine function

Defining formula

{\displaystyle{\displaystyle\sinh\NVar{z}}}

C4.S28.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathbb{L}}}

C23.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C23.S1.XMD7.m1adec

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Sitelinks

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