DLMF:22.6.E4 (Q6938)

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Language	Label	Description	Also known as
English	DLMF:22.6.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle-k^{2}{k^{\prime}}^{2}{\operatorname{sd}^{2}}\left% (z,k\right)=k^{2}({\operatorname{cd}^{2}}\left(z,k\right)-1)={k^{\prime}}^{2}(% 1-{\operatorname{nd}^{2}}\left(z,k\right)).}}

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DLMF:22.6.E4

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Jacobian elliptic function

Defining formula

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

C22.S2.E8.m2adec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m3adec

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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 z}}

C22.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1cdec

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Defining formula

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

C22.S1.XMD5.m1adec

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