DLMF:23.6.E23 (Q7266)

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Language	Label	Description	Also known as
English	DLMF:23.6.E23	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\wp\left(z\right)-e_{3}=\frac{{K^{2}}}{\omega_{1}^% {2}}{\operatorname{ns}^{2}}\left(\frac{K\!z}{\omega_{1}},k\right).}}

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DLMF:23.6.E23

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m3adec

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Defining formula

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

C23.S2.E4.m2afdec

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Defining formula

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

C23.S3.SS1.m1amdec

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Defining formula

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

C19.S2.E8.m1afdec

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Defining formula

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

C23.S1.XMD1.m1tdec

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Defining formula

{\displaystyle{\displaystyle z}}

C23.S1.XMD7.m1idec

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Defining formula

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

C23.S1.XMD8.m1udec

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Defining formula

{\displaystyle{\displaystyle k}}

C23.S6.XMD3.m1gdec

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Sitelinks

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