DLMF:22.6.E16 (Q6950): Difference between revisions

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Latest revision as of 14:59, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.6.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{cs}\left(2z,k\right)=\frac{{% \operatorname{cs}^{4}}\left(z,k\right)-{k^{\prime}}^{2}}{2\operatorname{cs}% \left(z,k\right)\operatorname{ds}\left(z,k\right)\operatorname{ns}\left(z,k% \right)}.}}

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DLMF:22.6.E16

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.m3acdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E7.m3acdec

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m3acdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1odec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1odec

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Defining formula

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

C22.S1.XMD5.m1kdec

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