DLMF:19.25.E12 (Q6516)

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Language	Label	Description	Also known as
English	DLMF:19.25.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\partial E\left(\phi,k\right)}{\partial k}=-% \tfrac{1}{3}kR_{D}\left(c-1,c-k^{2},c\right).}}

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DLMF:19.25.E12

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elliptic integral symmetric in only two variables

Defining formula

{\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

C19.S16.E5.m2aedec

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Legendre’s incomplete elliptic integral of the second kind

Defining formula

{\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}

C19.S2.E5.m2aedec

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partial derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

C1.S5.E3.m4aadec

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partial differential of $$x$$

Defining formula

{\displaystyle{\displaystyle\partial\NVar{x}}}

C1.S5.E3.m2aadec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C19.S1.XMD4.m1gdec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1kdec

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