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Statements
V
(
a
,
z
)
=
e
-
1
4
z
2
2
π
(
∫
-
i
c
-
∞
-
i
c
+
∞
+
∫
i
c
-
∞
i
c
+
∞
)
e
z
t
-
1
2
t
2
t
a
-
1
2
d
t
,
parabolic-V
𝑎
𝑧
superscript
𝑒
1
4
superscript
𝑧
2
2
𝜋
superscript
subscript
𝑖
𝑐
𝑖
𝑐
superscript
subscript
𝑖
𝑐
𝑖
𝑐
superscript
𝑒
𝑧
𝑡
1
2
superscript
𝑡
2
superscript
𝑡
𝑎
1
2
𝑡
{\displaystyle{\displaystyle V\left(a,z\right)=\frac{e^{-\frac{1}{4}z^{2}}}{2%
\pi}\*\left(\int_{-ic-\infty}^{-ic+\infty}+\int_{ic-\infty}^{ic+\infty}\right)%
e^{zt-\frac{1}{2}t^{2}}t^{a-\frac{1}{2}}\mathrm{d}t,}}
-
π
<
ph
t
<
π
𝜋
phase
𝑡
𝜋
{\displaystyle{\displaystyle-\pi<\operatorname{ph}{t}<\pi}}
-
π
<
ph
t
<
π
𝜋
ph
𝑡
𝜋
{\displaystyle{\displaystyle-\pi<\operatorname{ph}{t}<\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}}
V
(
a
,
z
)
parabolic-V
𝑎
𝑧
{\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
𝑎
{\displaystyle{\displaystyle a}}
Identifiers
