DLMF:19.20.E22 (Q6413)

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Language	Label	Description	Also known as
English	DLMF:19.20.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{1}\frac{t^{2}\mathrm{d}t}{\sqrt{1-t^{4}}% }=\tfrac{1}{3}R_{D}\left(0,2,1\right)=\frac{\left(\Gamma\left(\frac{3}{4}% \right)\right)^{2}}{(2\pi)^{1/2}}=0.59907\;01173\;67796\;10371\dots.}}

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DLMF:19.20.E22

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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.m2agdec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2afdec

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Defining formula

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

C1.S4.SS4.m1aadec

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Sitelinks

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