DLMF:22.13.E18 (Q7069): Difference between revisions

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Latest revision as of 15:21, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.13.E18	No description defined

Statements

Defining formula

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

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DLMF:22.13.E18

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Jacobian elliptic function

Defining formula

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

C22.S2.E6.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.m2ardec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1rdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1rdec

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Defining formula

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

C22.S1.XMD5.m1ldec

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