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Statements
U
(
a
,
z
)
=
e
1
4
z
2
i
2
π
∫
c
-
i
∞
c
+
i
∞
e
-
z
t
+
1
2
t
2
t
-
a
-
1
2
d
t
,
parabolic-U
𝑎
𝑧
superscript
𝑒
1
4
superscript
𝑧
2
𝑖
2
𝜋
superscript
subscript
𝑐
𝑖
𝑐
𝑖
superscript
𝑒
𝑧
𝑡
1
2
superscript
𝑡
2
superscript
𝑡
𝑎
1
2
𝑡
{\displaystyle{\displaystyle U\left(a,z\right)=\frac{e^{\frac{1}{4}z^{2}}}{i%
\sqrt{2\pi}}\int_{c-i\infty}^{c+i\infty}e^{-zt+\frac{1}{2}t^{2}}t^{-a-\frac{1}%
{2}}\mathrm{d}t,}}
-
1
2
π
<
ph
t
<
1
2
π
1
2
𝜋
phase
𝑡
1
2
𝜋
{\displaystyle{\displaystyle-\tfrac{1}{2}\pi<\operatorname{ph}t<\tfrac{1}{2}%
\pi}}
-
1
2
π
<
ph
t
<
1
2
π
1
2
𝜋
ph
𝑡
1
2
𝜋
{\displaystyle{\displaystyle-\tfrac{1}{2}\pi<\operatorname{ph}t<\tfrac{1}{2}%
\pi}}
c
>
0
𝑐
0
{\displaystyle{\displaystyle c>0}}
π
{\displaystyle{\displaystyle\pi}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
∫
{\displaystyle{\displaystyle\int}}
U
(
a
,
z
)
parabolic-U
𝑎
𝑧
{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
𝑎
{\displaystyle{\displaystyle a}}
Identifiers
