DLMF:31.10.E8 (Q9059)

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DLMF:31.10.E8
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    sin 2 θ ( 2 𝒦 θ 2 + ( ( 1 - 2 γ ) tan θ + 2 ( δ + ϵ - 1 2 ) cot θ ) 𝒦 θ - 4 α β 𝒦 ) + 2 𝒦 ϕ 2 + ( ( 1 - 2 δ ) cot ϕ - ( 1 - 2 ϵ ) tan ϕ ) 𝒦 ϕ = 0 . 2 𝜃 partial-derivative 𝒦 𝜃 2 1 2 𝛾 𝜃 2 𝛿 italic-ϵ 1 2 𝜃 partial-derivative 𝒦 𝜃 4 𝛼 𝛽 𝒦 partial-derivative 𝒦 italic-ϕ 2 1 2 𝛿 italic-ϕ 1 2 italic-ϵ italic-ϕ partial-derivative 𝒦 italic-ϕ 0 {\displaystyle{\displaystyle{\sin^{2}}\theta\left(\frac{{\partial}^{2}\mathcal% {K}}{{\partial\theta}^{2}}+\left((1-2\gamma)\tan\theta+2(\delta+\epsilon-% \tfrac{1}{2})\cot\theta\right)\frac{\partial\mathcal{K}}{\partial\theta}-4% \alpha\beta\mathcal{K}\right)+\frac{{\partial}^{2}\mathcal{K}}{{\partial\phi}^% {2}}+\left((1-2\delta)\cot\phi-(1-2\epsilon)\tan\phi\right)\frac{\partial% \mathcal{K}}{\partial\phi}=0.}}
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    DLMF:31.10.E8
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    cot z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    C4.S14.E7.m2adec
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