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Statements
Ψ
(
H
)
(
𝐱
)
=
2
π
3
1
/
3
∫
∞
exp
(
5
π
i
/
6
)
∞
exp
(
π
i
/
6
)
exp
(
i
(
s
3
+
x
s
)
)
Ai
(
z
s
+
y
3
1
/
3
)
d
s
.
hyperbolic-umbilic-canonical-integral
𝐱
2
𝜋
superscript
3
1
3
superscript
subscript
5
𝜋
𝑖
6
𝜋
𝑖
6
𝑖
superscript
𝑠
3
𝑥
𝑠
Airy-Ai
𝑧
𝑠
𝑦
superscript
3
1
3
𝑠
{\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\mathbf{x}\right)=\frac{2%
\pi}{3^{1/3}}\int_{\infty\exp\left(5\pi i/6\right)}^{\infty\exp\left(\pi i/6%
\right)}\exp\left(i(s^{3}+xs)\right)\mathrm{Ai}\left(\frac{zs+y}{3^{1/3}}%
\right)\mathrm{d}s.}}
Ai
(
z
)
Airy-Ai
𝑧
{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
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}}}
∫
{\displaystyle{\displaystyle\int}}
y
𝑦
{\displaystyle{\displaystyle y}}
z
𝑧
{\displaystyle{\displaystyle z}}
s
𝑠
{\displaystyle{\displaystyle s}}
x
𝑥
{\displaystyle{\displaystyle x}}
Identifiers
