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Statements
Γ
(
z
,
z
)
∼
z
z
-
1
e
-
z
(
π
2
z
1
2
-
1
3
+
2
π
24
z
1
2
-
4
135
z
+
2
π
576
z
3
2
+
8
2835
z
2
+
…
)
,
asymptotic-expansion
incomplete-Gamma
𝑧
𝑧
superscript
𝑧
𝑧
1
superscript
𝑒
𝑧
𝜋
2
superscript
𝑧
1
2
1
3
2
𝜋
24
superscript
𝑧
1
2
4
135
𝑧
2
𝜋
576
superscript
𝑧
3
2
8
2835
superscript
𝑧
2
…
{\displaystyle{\displaystyle\Gamma\left(z,z\right)\sim z^{z-1}e^{-z}\left(%
\sqrt{\frac{\pi}{2}}z^{\frac{1}{2}}-\frac{1}{3}+\frac{\sqrt{2\pi}}{24z^{\frac{%
1}{2}}}-\frac{4}{135z}+\frac{\sqrt{2\pi}}{576z^{\frac{3}{2}}}+\frac{8}{2835z^{%
2}}+\dots\right),}}
|
ph
z
|
≤
2
π
-
δ
phase
𝑧
2
𝜋
𝛿
{\displaystyle{\displaystyle|\operatorname{ph}z|\leq 2\pi-\delta}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
Γ
(
a
,
z
)
incomplete-Gamma
𝑎
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}
ph
phase
{\displaystyle{\displaystyle\operatorname{ph}}}
z
𝑧
{\displaystyle{\displaystyle z}}
δ
𝛿
{\displaystyle{\displaystyle\delta}}
Identifiers
