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Statements
∇
2
=
1
c
2
(
ξ
2
+
η
2
)
(
∂
∂
ξ
(
(
ξ
2
+
1
)
∂
∂
ξ
)
+
∂
∂
η
(
(
1
-
η
2
)
∂
∂
η
)
+
ξ
2
+
η
2
(
ξ
2
+
1
)
(
1
-
η
2
)
∂
2
∂
ϕ
2
)
.
superscript
∇
2
1
superscript
𝑐
2
superscript
𝜉
2
superscript
𝜂
2
partial-derivative
𝜉
superscript
𝜉
2
1
partial-derivative
𝜉
partial-derivative
𝜂
1
superscript
𝜂
2
partial-derivative
𝜂
superscript
𝜉
2
superscript
𝜂
2
superscript
𝜉
2
1
1
superscript
𝜂
2
partial-derivative
italic-ϕ
2
{\displaystyle{\displaystyle\nabla^{2}=\frac{1}{c^{2}(\xi^{2}+\eta^{2})}\left(%
\frac{\partial}{\partial\xi}\left((\xi^{2}+1)\frac{\partial}{\partial\xi}%
\right)+\frac{\partial}{\partial\eta}\left((1-\eta^{2})\frac{\partial}{%
\partial\eta}\right)+\frac{\xi^{2}+\eta^{2}}{(\xi^{2}+1)(1-\eta^{2})}\frac{{%
\partial}^{2}}{{\partial\phi}^{2}}\right).}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
ξ
𝜉
{\displaystyle{\displaystyle\xi}}
η
𝜂
{\displaystyle{\displaystyle\eta}}
ϕ
italic-ϕ
{\displaystyle{\displaystyle\phi}}
c
𝑐
{\displaystyle{\displaystyle c}}
Identifiers
