DLMF:19.11.E5 (Q6277)

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DLMF:19.11.E5
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    Defining formula
    Π ⁡ ( θ , α 2 , k ) + Π ⁡ ( ϕ , α 2 , k ) = Π ⁡ ( ψ , α 2 , k ) - α 2 ⁢ R C ⁡ ( γ - δ , γ ) , elliptic-integral-third-kind-Pi 𝜃 superscript 𝛼 2 𝑘 elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 𝑘 elliptic-integral-third-kind-Pi 𝜓 superscript 𝛼 2 𝑘 superscript 𝛼 2 Carlson-integral-RC 𝛾 𝛿 𝛾 {\displaystyle{\displaystyle\Pi\left(\theta,\alpha^{2},k\right)+\Pi\left(\phi,% \alpha^{2},k\right)=\Pi\left(\psi,\alpha^{2},k\right)-\alpha^{2}R_{C}\left(% \gamma-\delta,\gamma\right),}}
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    DLMF id
    DLMF:19.11.E5
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