DLMF:23.6.E26 (Q7269)

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Language	Label	Description	Also known as
English	DLMF:23.6.E26	No description defined

Statements

Defining formula

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

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DLMF:23.6.E26

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2adec

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Defining formula

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

C23.S2.E4.m2aidec

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Defining formula

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

C23.S3.SS1.m1apdec

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Defining formula

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

C19.S2.E8.m1aidec

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Defining formula

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

C23.S1.XMD1.m1wdec

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Defining formula

{\displaystyle{\displaystyle z}}

C23.S1.XMD7.m1ldec

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Defining formula

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

C23.S1.XMD8.m1xdec

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Defining formula

{\displaystyle{\displaystyle k}}

C23.S6.XMD3.m1jdec

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Sitelinks

Wikipedia(0 entries)

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