DLMF:19.29.E32 (Q6671): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:19.29.E32	No description defined

Statements

Defining formula

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

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DLMF:19.29.E32

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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.m2afdec

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Defining formula

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

C1.S4.SS4.m1aldec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aldec

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Defining formula

{\displaystyle{\displaystyle U}}

C19.S29.XMD16.m1jdec

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