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Statements
Ψ
3
(
x
,
0
,
0
)
=
2
π
(
5
|
x
|
3
)
1
/
8
{
exp
(
-
2
2
(
x
/
5
)
5
/
4
)
(
cos
(
2
2
(
x
/
5
)
5
/
4
-
1
8
π
)
+
o
(
1
)
)
,
x
→
+
∞
,
cos
(
4
(
|
x
|
/
5
)
5
/
4
-
1
4
π
)
+
o
(
1
)
,
x
→
-
∞
.
canonical-integral
3
𝑥
0
0
2
𝜋
superscript
5
superscript
𝑥
3
1
8
cases
2
2
superscript
𝑥
5
5
4
2
2
superscript
𝑥
5
5
4
1
8
𝜋
little-o
1
→
𝑥
4
superscript
𝑥
5
5
4
1
4
𝜋
little-o
1
→
𝑥
{\displaystyle{\displaystyle\Psi_{3}\left(x,0,0\right)=\frac{\sqrt{2\pi}}{(5|x%
|^{3})^{1/8}}\begin{cases}\exp\left(-2\sqrt{2}(\ifrac{x}{5})^{5/4}\right)\left%
(\cos\left(2\sqrt{2}(\ifrac{x}{5})^{5/4}-\tfrac{1}{8}\pi\right)+o\left(1\right%
)\right),&x\to+\infty,\\
\cos\left(4(\ifrac{|x|}{5})^{5/4}-\tfrac{1}{4}\pi\right)+o\left(1\right),&x\to%
-\infty.\end{cases}}}
Ψ
K
(
𝐱
)
canonical-integral
𝐾
𝐱
{\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
exp
z
𝑧
{\displaystyle{\displaystyle\exp\NVar{z}}}
o
(
x
)
little-o
𝑥
{\displaystyle{\displaystyle o\left(\NVar{x}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
Identifiers
