DLMF:19.25.E6 (Q6510)

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DLMF:19.25.E6
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    test
    ∂ ⁡ F ⁡ ( ϕ , k ) ∂ ⁡ k = 1 3 ⁢ k ⁢ R D ⁡ ( c - 1 , c , c - k 2 ) . partial-derivative elliptic-integral-first-kind-F italic-ϕ 𝑘 𝑘 1 3 𝑘 Carlson-integral-RD 𝑐 1 𝑐 𝑐 superscript 𝑘 2 {\displaystyle{\displaystyle\frac{\partial F\left(\phi,k\right)}{\partial k}=% \tfrac{1}{3}kR_{D}\left(c-1,c,c-k^{2}\right).}}
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    DLMF:19.25.E6
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