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Statements
V
′
(
-
1
2
μ
2
,
μ
t
2
)
∼
2
μ
g
(
μ
)
Γ
(
1
2
+
1
2
μ
2
)
(
t
2
-
1
)
1
4
e
μ
2
ξ
∑
s
=
0
∞
(
-
1
)
s
ℬ
s
(
t
)
μ
2
s
,
asymptotic-expansion
diffop
parabolic-V
1
1
2
superscript
𝜇
2
𝜇
𝑡
2
2
𝜇
𝑔
𝜇
Euler-Gamma
1
2
1
2
superscript
𝜇
2
superscript
superscript
𝑡
2
1
1
4
superscript
𝑒
superscript
𝜇
2
𝜉
superscript
subscript
𝑠
0
superscript
1
𝑠
subscript
ℬ
𝑠
𝑡
superscript
𝜇
2
𝑠
{\displaystyle{\displaystyle V'\left(-\tfrac{1}{2}\mu^{2},\mu t\sqrt{2}\right)%
\sim\frac{\sqrt{2}\mu g(\mu)}{\Gamma\left(\frac{1}{2}+\frac{1}{2}\mu^{2}\right%
)}(t^{2}-1)^{\frac{1}{4}}\*e^{\mu^{2}\xi}\sum_{s=0}^{\infty}(-1)^{s}\frac{{%
\cal B}_{s}(t)}{\mu^{2s}},}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
V
(
a
,
z
)
parabolic-V
𝑎
𝑧
{\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}
s
𝑠
{\displaystyle{\displaystyle s}}
ξ
𝜉
{\displaystyle{\displaystyle\xi}}
ℬ
s
(
t
)
subscript
ℬ
𝑠
𝑡
{\displaystyle{\displaystyle\mathcal{B}_{s}(t)}}
g
(
μ
)
𝑔
𝜇
{\displaystyle{\displaystyle g(\mu)}}
Identifiers
