DLMF:22.6.E17 (Q6951)

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Language	Label	Description	Also known as
English	DLMF:22.6.E17	No description defined

Statements

Defining formula

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

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DLMF:22.6.E17

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2addec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2addec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2addec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1pdec

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Sitelinks

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