DLMF:19.29.E28 (Q6665)

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Language	Label	Description	Also known as
English	DLMF:19.29.E28	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{y}^{x}\frac{\mathrm{d}t}{\sqrt{t^{3}-a^{3}}}% =4R_{F}\left(U,U-3a+2\sqrt{3}a,U-3a-2\sqrt{3}a\right),}}

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DLMF:19.29.E28

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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.m2addec

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Defining formula

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

C1.S4.SS4.m1ajdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ajdec

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Defining formula

{\displaystyle{\displaystyle U}}

C19.S29.XMD16.m1fdec

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