DLMF:19.28.E3 (Q6611)

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Language	Label	Description	Also known as
English	DLMF:19.28.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{1}t^{\sigma-1}(1-t)R_{D}\left(0,t,1% \right)\mathrm{d}t=\frac{3}{4\sigma+2}\left(\mathrm{B}\left(\sigma,\tfrac{1}{2% }\right)\right)^{2}.}}

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DLMF:19.28.E3

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}

C5.S12.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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Defining formula

{\displaystyle{\displaystyle\sigma}}

C19.S28.XMD1.m1bdec

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Sitelinks

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