DLMF:19.21.E12 (Q6430)

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DLMF:19.21.E12
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    Defining formula
    ( p - x ) ⁢ R J ⁡ ( x , y , z , p ) + ( q - x ) ⁢ R J ⁡ ( x , y , z , q ) = 3 ⁢ R F ⁡ ( x , y , z ) - 3 ⁢ R C ⁡ ( ξ , η ) , 𝑝 𝑥 Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑝 𝑞 𝑥 Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑞 3 Carlson-integral-RF 𝑥 𝑦 𝑧 3 Carlson-integral-RC 𝜉 𝜂 {\displaystyle{\displaystyle(p-x)R_{J}\left(x,y,z,p\right)+(q-x)R_{J}\left(x,y% ,z,q\right)=3R_{F}\left(x,y,z\right)-3R_{C}\left(\xi,\eta\right),}}
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    DLMF id
    DLMF:19.21.E12
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