DLMF:23.6.E25 (Q7268)

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Language	Label	Description	Also known as
English	DLMF:23.6.E25	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\wp\left(z+\omega_{2}\right)-e_{2}=-\left(\frac{% Kkk^{\prime}}{\omega_{1}}\right)^{2}{\operatorname{sd}^{2}}\left(\frac{K\!z}{% \omega_{1}},k\right),}}

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DLMF:23.6.E25

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Jacobian elliptic function

Defining formula

{\displaystyle{\displaystyle\operatorname{sd}\left(\NVar{z},\NVar{k}\right)}}

C22.S2.E7.m2adec

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Defining formula

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

C23.S2.E4.m2ahdec

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Defining formula

{\displaystyle{\displaystyle e_{\NVar{j}}}}

C23.S3.SS1.m1aodec

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Defining formula

{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

C19.S2.E8.m1ahdec

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Defining formula

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

C23.S1.XMD1.m1vdec

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Defining formula

{\displaystyle{\displaystyle z}}

C23.S1.XMD7.m1kdec

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Defining formula

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

C23.S1.XMD8.m1wdec

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Defining formula

{\displaystyle{\displaystyle k}}

C23.S6.XMD3.m1idec

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Defining formula

{\displaystyle{\displaystyle k^{\prime}}}

C23.S6.XMD4.m1edec

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Sitelinks

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