DLMF:31.10.E18 (Q9071)

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DLMF:31.10.E18
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    2 𝒦 u 2 + 2 𝒦 v 2 + 2 𝒦 w 2 + 2 γ - 1 u 𝒦 u + 2 δ - 1 v 𝒦 v + 2 ϵ - 1 w 𝒦 w = 0 . partial-derivative 𝒦 𝑢 2 partial-derivative 𝒦 𝑣 2 partial-derivative 𝒦 𝑤 2 2 𝛾 1 𝑢 partial-derivative 𝒦 𝑢 2 𝛿 1 𝑣 partial-derivative 𝒦 𝑣 2 italic-ϵ 1 𝑤 partial-derivative 𝒦 𝑤 0 {\displaystyle{\displaystyle\frac{{\partial}^{2}\mathcal{K}}{{\partial u}^{2}}% +\frac{{\partial}^{2}\mathcal{K}}{{\partial v}^{2}}+\frac{{\partial}^{2}% \mathcal{K}}{{\partial w}^{2}}+\frac{2\gamma-1}{u}\frac{\partial\mathcal{K}}{% \partial u}+\frac{2\delta-1}{v}\frac{\partial\mathcal{K}}{\partial v}+\frac{2% \epsilon-1}{w}\frac{\partial\mathcal{K}}{\partial w}=0.}}
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    DLMF:31.10.E18
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