DLMF:22.13.E11 (Q7062): Difference between revisions

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Latest revision as of 15:19, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.13.E11	No description defined

Statements

Defining formula

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

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DLMF:22.13.E11

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Jacobian elliptic function

Defining formula

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

C22.S2.E7.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.m2akdec

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Defining formula

{\displaystyle{\displaystyle z}}

C22.S1.XMD3.m1kdec

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Defining formula

{\displaystyle{\displaystyle k}}

C22.S1.XMD4.m1kdec

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Defining formula

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

C22.S1.XMD5.m1gdec

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