DLMF:19.26.E8 (Q6560)

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DLMF:19.26.E8
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    test
    2 ⁢ R G ⁡ ( x + λ , y + λ , z + λ ) + 2 ⁢ R G ⁡ ( x + μ , y + μ , z + μ ) = 2 ⁢ R G ⁡ ( x , y , z ) + λ ⁢ R F ⁡ ( x + λ , y + λ , z + λ ) + μ ⁢ R F ⁡ ( x + μ , y + μ , z + μ ) + λ + μ + x + y + z . 2 Carlson-integral-RG 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 2 Carlson-integral-RG 𝑥 𝜇 𝑦 𝜇 𝑧 𝜇 2 Carlson-integral-RG 𝑥 𝑦 𝑧 𝜆 Carlson-integral-RF 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 𝜇 Carlson-integral-RF 𝑥 𝜇 𝑦 𝜇 𝑧 𝜇 𝜆 𝜇 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle 2R_{G}\left(x+\lambda,y+\lambda,z+\lambda\right)+% 2R_{G}\left(x+\mu,y+\mu,z+\mu\right)=2R_{G}\left(x,y,z\right)+\lambda R_{F}% \left(x+\lambda,y+\lambda,z+\lambda\right)+\mu R_{F}\left(x+\mu,y+\mu,z+\mu% \right)+\sqrt{\lambda+\mu+x+y+z}.}}
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    DLMF id
    DLMF:19.26.E8
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