DLMF:22.8.E21 (Q6986)

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Language	Label	Description	Also known as
English	DLMF:22.8.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{k^{\prime}}^{2}-{k^{\prime}}^{2}k^{2}% \operatorname{sn}z_{1}\operatorname{sn}z_{2}\operatorname{sn}z_{3}% \operatorname{sn}z_{4}+k^{2}\operatorname{cn}z_{1}\operatorname{cn}z_{2}% \operatorname{cn}z_{3}\operatorname{cn}z_{4}-\operatorname{dn}z_{1}% \operatorname{dn}z_{2}\operatorname{dn}z_{3}\operatorname{dn}z_{4}=0.}}

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DLMF:22.8.E21

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2ajdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2ajdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2ajdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1adec

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Defining formula

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

C22.S1.XMD5.m1dec

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