DLMF:19.30.E11 (Q6686)

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Language	Label	Description	Also known as
English	DLMF:19.30.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle s=2a^{2}\int_{0}^{r}\frac{\mathrm{d}t}{\sqrt{4a^{% 4}-t^{4}}}=\sqrt{2a^{2}}R_{F}\left(q-1,q,q+1\right),}}

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DLMF:19.30.E11

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{\displaystyle{\displaystyle q=2a^{2}/r^{2}=\sec\left(2\theta\right)}}

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symmetric elliptic integral of first kind

Defining formula

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

C19.S16.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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secant function

Defining formula

{\displaystyle{\displaystyle\sec\NVar{z}}}

C4.S14.E6.m2adec

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Defining formula

{\displaystyle{\displaystyle r}}

C19.S30.XMD4.m1adec

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Defining formula

{\displaystyle{\displaystyle q}}

C19.S30.XMD5.m1dec

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Sitelinks

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