DLMF:22.13.E24 (Q7075)

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Language	Label	Description	Also known as
English	DLMF:22.13.E24	No description defined

Statements

Defining formula

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

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DLMF:22.13.E24

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Jacobian elliptic function

Defining formula

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

C22.S2.E9.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.m2axdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1xdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1xdec

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Defining formula

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

C22.S1.XMD5.m1pdec

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Sitelinks

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