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Statements
γ
(
a
,
x
+
y
)
-
γ
(
a
,
x
)
=
Γ
(
a
,
x
)
-
Γ
(
a
,
x
+
y
)
=
e
-
x
x
a
-
1
∑
n
=
0
∞
(
1
-
a
)
n
(
-
x
)
n
(
1
-
e
-
y
e
n
(
y
)
)
,
incomplete-gamma
𝑎
𝑥
𝑦
incomplete-gamma
𝑎
𝑥
incomplete-Gamma
𝑎
𝑥
incomplete-Gamma
𝑎
𝑥
𝑦
superscript
𝑒
𝑥
superscript
𝑥
𝑎
1
superscript
subscript
𝑛
0
Pochhammer
1
𝑎
𝑛
superscript
𝑥
𝑛
1
superscript
𝑒
𝑦
subscript
𝑒
𝑛
𝑦
{\displaystyle{\displaystyle\gamma\left(a,x+y\right)-\gamma\left(a,x\right)=%
\Gamma\left(a,x\right)-\Gamma\left(a,x+y\right)=e^{-x}x^{a-1}\sum_{n=0}^{%
\infty}\frac{{\left(1-a\right)_{n}}}{(-x)^{n}}(1-e^{-y}e_{n}(y)),}}
|
y
|
<
|
x
|
𝑦
𝑥
{\displaystyle{\displaystyle|y|<|x|}}
(
a
)
n
Pochhammer
𝑎
𝑛
{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
Γ
(
a
,
z
)
incomplete-Gamma
𝑎
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}
γ
(
a
,
z
)
incomplete-gamma
𝑎
𝑧
{\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
a
𝑎
{\displaystyle{\displaystyle a}}
n
𝑛
{\displaystyle{\displaystyle n}}
e
n
(
z
)
subscript
𝑒
𝑛
𝑧
{\displaystyle{\displaystyle e_{n}(z)}}
Identifiers
