DLMF:19.11#Ex7 (Q6280)

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DLMF:19.11#Ex7
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    Defining formula
    R C ⁡ ( γ - δ , γ ) = - 1 δ ⁢ arctan ⁡ ( δ ⁢ sin ⁡ θ ⁢ sin ⁡ ϕ ⁢ sin ⁡ ψ α 2 - 1 - α 2 ⁢ cos ⁡ θ ⁢ cos ⁡ ϕ ⁢ cos ⁡ ψ ) . Carlson-integral-RC 𝛾 𝛿 𝛾 1 𝛿 𝛿 𝜃 italic-ϕ 𝜓 superscript 𝛼 2 1 superscript 𝛼 2 𝜃 italic-ϕ 𝜓 {\displaystyle{\displaystyle R_{C}\left(\gamma-\delta,\gamma\right)=\frac{-1}{% \sqrt{\delta}}\operatorname{arctan}\left(\frac{\sqrt{\delta}\sin\theta\sin\phi% \sin\psi}{\alpha^{2}-1-\alpha^{2}\cos\theta\cos\phi\cos\psi}\right).}}
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    DLMF id
    DLMF:19.11#Ex7
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