DLMF:22.13.E1 (Q7052)

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Language	Label	Description	Also known as
English	DLMF:22.13.E1	No description defined

Statements

Defining formula

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

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DLMF:22.13.E1

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Jacobian elliptic function

Defining formula

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

C22.S2.E4.m2aadec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1adec

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