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Statements
z
-
a
e
z
Γ
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a
,
z
)
=
z
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1
1
+
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1
-
a
)
z
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1
1
+
z
-
1
1
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(
2
-
a
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z
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1
1
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z
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3
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z
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⋯
,
superscript
𝑧
𝑎
superscript
𝑒
𝑧
incomplete-Gamma
𝑎
𝑧
continued-fraction
superscript
𝑧
1
1
continued-fraction
1
𝑎
superscript
𝑧
1
1
continued-fraction
superscript
𝑧
1
1
continued-fraction
2
𝑎
superscript
𝑧
1
1
continued-fraction
2
superscript
𝑧
1
1
continued-fraction
3
𝑎
superscript
𝑧
1
1
continued-fraction
3
superscript
𝑧
1
1
⋯
{\displaystyle{\displaystyle z^{-a}e^{z}\Gamma\left(a,z\right)=\cfrac{z^{-1}}{%
1+\cfrac{(1-a)z^{-1}}{1+\cfrac{z^{-1}}{1+\cfrac{(2-a)z^{-1}}{1+\cfrac{2z^{-1}}%
{1+\cfrac{(3-a)z^{-1}}{1+\cfrac{3z^{-1}}{1+\cdots}}}}}}},}}
|
ph
z
|
<
π
phase
𝑧
𝜋
{\displaystyle{\displaystyle|\operatorname{ph}z|<\pi}}
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}}
a
𝑎
{\displaystyle{\displaystyle a}}
