DLMF:19.23.E6 (Q6477)

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DLMF:19.23.E6
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    test
    4 ⁢ π ⁢ R F ⁡ ( x , y , z ) = ∫ 0 2 ⁢ π ∫ 0 π sin ⁡ θ ⁢ d θ ⁢ d ϕ ( x ⁢ sin 2 ⁡ θ ⁢ cos 2 ⁡ ϕ + y ⁢ sin 2 ⁡ θ ⁢ sin 2 ⁡ ϕ + z ⁢ cos 2 ⁡ θ ) 1 / 2 , 4 𝜋 Carlson-integral-RF 𝑥 𝑦 𝑧 superscript subscript 0 2 𝜋 superscript subscript 0 𝜋 𝜃 𝜃 italic-ϕ superscript 𝑥 2 𝜃 2 italic-ϕ 𝑦 2 𝜃 2 italic-ϕ 𝑧 2 𝜃 1 2 {\displaystyle{\displaystyle 4\pi R_{F}\left(x,y,z\right)=\int_{0}^{2\pi}\!\!% \!\!\int_{0}^{\pi}\frac{\sin\theta\mathrm{d}\theta\mathrm{d}\phi}{(x{\sin^{2}}% \theta{\cos^{2}}\phi+y{\sin^{2}}\theta{\sin^{2}}\phi+z{\cos^{2}}\theta)^{1/2}}% ,}}
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    DLMF id
    DLMF:19.23.E6
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