DLMF:14.30.E10 (Q4972)

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DLMF:14.30.E10
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    1 ρ 2 ρ ( ρ 2 W ρ ) + 1 ρ 2 sin θ θ ( sin θ W θ ) + 1 ρ 2 sin 2 θ 2 W ϕ 2 = 0 , 1 superscript 𝜌 2 partial-derivative 𝜌 superscript 𝜌 2 partial-derivative 𝑊 𝜌 1 superscript 𝜌 2 𝜃 partial-derivative 𝜃 𝜃 partial-derivative 𝑊 𝜃 1 superscript 𝜌 2 2 𝜃 partial-derivative 𝑊 italic-ϕ 2 0 {\displaystyle{\displaystyle{\frac{1}{\rho^{2}}\frac{\partial}{\partial\rho}% \left(\rho^{2}\frac{\partial W}{\partial\rho}\right)+\frac{1}{\rho^{2}\sin% \theta}\frac{\partial}{\partial\theta}\left(\sin\theta\frac{\partial W}{% \partial\theta}\right)}+\frac{1}{\rho^{2}{\sin^{2}}\theta}\frac{{\partial}^{2}% W}{{\partial\phi}^{2}}=0,}}
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    DLMF:14.30.E10
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