DLMF:22.13.E22 (Q7073)

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Language	Label	Description	Also known as
English	DLMF:22.13.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}% \operatorname{ns}\left(z,k\right)=-(1+k^{2})\operatorname{ns}\left(z,k\right)+% 2{\operatorname{ns}^{3}}\left(z,k\right),}}

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DLMF:22.13.E22

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m3abdec

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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.m2avdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1vdec

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