DLMF:22.13.E8 (Q7059)

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Language	Label	Description	Also known as
English	DLMF:22.13.E8	No description defined

Statements

Defining formula

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

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DLMF:22.13.E8

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Jacobian elliptic function

Defining formula

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

C22.S2.E5.m3aadec

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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.m2ahdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1hdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1hdec

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Defining formula

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

C22.S1.XMD5.m1edec

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