DLMF:19.21.E11 (Q6429)

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DLMF:19.21.E11
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    Defining formula
    6 ⁢ R G ⁡ ( x , y , z ) = 3 ⁢ ( x + y + z ) ⁢ R F ⁡ ( x , y , z ) - ∑ x 2 ⁢ R D ⁡ ( y , z , x ) = ∑ x ⁢ ( y + z ) ⁢ R D ⁡ ( y , z , x ) , 6 Carlson-integral-RG 𝑥 𝑦 𝑧 3 𝑥 𝑦 𝑧 Carlson-integral-RF 𝑥 𝑦 𝑧 superscript 𝑥 2 Carlson-integral-RD 𝑦 𝑧 𝑥 𝑥 𝑦 𝑧 Carlson-integral-RD 𝑦 𝑧 𝑥 {\displaystyle{\displaystyle 6R_{G}\left(x,y,z\right)=3(x+y+z)R_{F}\left(x,y,z% \right)-\sum x^{2}R_{D}\left(y,z,x\right)=\sum x(y+z)R_{D}\left(y,z,x\right),}}
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    DLMF id
    DLMF:19.21.E11
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