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Statements
P
(
a
,
z
)
∼
z
a
e
-
z
Γ
(
1
+
a
)
∼
(
2
π
a
)
-
1
2
e
a
-
z
(
z
/
a
)
a
,
asymptotically-equals
incomplete-gamma-P
𝑎
𝑧
superscript
𝑧
𝑎
superscript
𝑒
𝑧
Euler-Gamma
1
𝑎
asymptotically-equals
superscript
2
𝜋
𝑎
1
2
superscript
𝑒
𝑎
𝑧
superscript
𝑧
𝑎
𝑎
{\displaystyle{\displaystyle P\left(a,z\right)\sim\frac{z^{a}e^{-z}}{\Gamma%
\left(1+a\right)}\sim(2\pi a)^{-\frac{1}{2}}e^{a-z}(z/a)^{a},}}
|
ph
a
|
≤
π
-
δ
phase
𝑎
𝜋
𝛿
{\displaystyle{\displaystyle|\operatorname{ph}a|\leq\pi-\delta}}
a
→
∞
→
𝑎
{\displaystyle{\displaystyle a\to\infty}}
|
ph
a
|
≤
π
-
δ
ph
𝑎
𝜋
𝛿
{\displaystyle{\displaystyle|\operatorname{ph}a|\leq\pi-\delta}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
∼
asymptotically-equals
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
P
(
a
,
z
)
incomplete-gamma-P
𝑎
𝑧
{\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
𝑎
{\displaystyle{\displaystyle a}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
Identifiers
