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Statements
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.}}
cot
z
𝑧
{\displaystyle{\displaystyle\cot\NVar{z}}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
tan
z
𝑧
{\displaystyle{\displaystyle\tan\NVar{z}}}
γ
𝛾
{\displaystyle{\displaystyle\gamma}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
ϵ
italic-ϵ
{\displaystyle{\displaystyle\epsilon}}
α
𝛼
{\displaystyle{\displaystyle\alpha}}
β
𝛽
{\displaystyle{\displaystyle\beta}}
𝒦
(
z
,
t
)
𝒦
𝑧
𝑡
{\displaystyle{\displaystyle\mathcal{K}(z,t)}}
θ
𝜃
{\displaystyle{\displaystyle\theta}}
ϕ
italic-ϕ
{\displaystyle{\displaystyle\phi}}
Identifiers
