DLMF:23.12.E2 (Q7324): Difference between revisions

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Latest revision as of 16:02, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:23.12.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(z\right)=\frac{\pi^{2}}{4\omega_{1}^{2}% }\left(\frac{z}{3}+\frac{2\omega_{1}}{\pi}\cot\left(\frac{\pi z}{2\omega_{1}}% \right)-8\left(z-\frac{\omega_{1}}{\pi}\sin\left(\frac{\pi z}{\omega_{1}}% \right)\right)q^{2}+O\left(q^{4}\right)\right),}}

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DLMF:23.12.E2

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2aadec

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Defining formula

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

C23.S2.E5.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

C4.S14.E7.m2adec

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Defining formula

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

C4.S14.E1.m2adec

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Defining formula

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

C23.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle q}}

C23.S1.XMD10.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C23.S1.XMD7.m1adec

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Defining formula

{\displaystyle{\displaystyle\omega_{1}}}

C23.S1.XMD8.m1adec

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