DLMF:22.13.E14 (Q7065)

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Language	Label	Description	Also known as
English	DLMF:22.13.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{cn}\left(z,k\right)=-({k^{\prime}}^{2}-k^{2})\operatorname{cn}% \left(z,k\right)-2k^{2}{\operatorname{cn}^{3}}\left(z,k\right),}}

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DLMF:22.13.E14

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m2abdec

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derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2andec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1ndec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1ndec

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Defining formula

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

C22.S1.XMD5.m1idec

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Sitelinks

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