DLMF:22.6.E1 (Q6935)

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Language	Label	Description	Also known as
English	DLMF:22.6.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\operatorname{sn}^{2}}\left(z,k\right)+{% \operatorname{cn}^{2}}\left(z,k\right)=k^{2}{\operatorname{sn}^{2}}\left(z,k% \right)+{\operatorname{dn}^{2}}\left(z,k\right)=1,}}

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DLMF:22.6.E1

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2adec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2adec

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