DLMF:22.7.E6 (Q6963)

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Language	Label	Description	Also known as
English	DLMF:22.7.E6	No description defined

Statements

Defining formula

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

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DLMF:22.7.E6

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2aadec

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.m2abdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2abdec

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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.m1ddec

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Defining formula

{\displaystyle{\displaystyle k_{2}}}

C22.S7.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle k_{2}^{\prime}}}

C22.S7.XMD3.m1adec

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Sitelinks

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