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Statements
3
(
∂
2
Ψ
(
E
)
∂
x
2
-
∂
2
Ψ
(
E
)
∂
y
2
)
+
2
i
z
∂
Ψ
(
E
)
∂
x
-
x
Ψ
(
E
)
=
0
.
3
partial-derivative
elliptic-umbilic-canonical-integral
𝑥
2
partial-derivative
elliptic-umbilic-canonical-integral
𝑦
2
2
𝑖
𝑧
partial-derivative
elliptic-umbilic-canonical-integral
𝑥
𝑥
elliptic-umbilic-canonical-integral
0
{\displaystyle{\displaystyle 3\left(\frac{{\partial}^{2}\Psi^{(\mathrm{E})}}{{%
\partial x}^{2}}-\frac{{\partial}^{2}\Psi^{(\mathrm{E})}}{{\partial y}^{2}}%
\right)+2iz\frac{\partial\Psi^{(\mathrm{E})}}{\partial x}-x\Psi^{(\mathrm{E})}%
=0.}}
Ψ
(
E
)
(
𝐱
)
elliptic-umbilic-canonical-integral
𝐱
{\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(\NVar{\mathbf{x}}\right)}}
Ψ
(
H
)
(
𝐱
)
hyperbolic-umbilic-canonical-integral
𝐱
{\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\NVar{\mathbf{x}}\right)}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
y
𝑦
{\displaystyle{\displaystyle y}}
z
𝑧
{\displaystyle{\displaystyle z}}
x
𝑥
{\displaystyle{\displaystyle x}}
Identifiers
