DLMF:22.6.E18 (Q6952)

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Language	Label	Description	Also known as
English	DLMF:22.6.E18	No description defined

Statements

Defining formula

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

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DLMF:22.6.E18

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2aedec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2aedec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1qdec

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Sitelinks

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