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Statements
I
x
(
a
,
b
)
∼
1
2
erfc
(
-
η
b
/
2
)
+
1
2
π
(
a
+
b
)
(
x
x
0
)
a
(
1
-
x
1
-
x
0
)
b
∑
k
=
0
∞
(
-
1
)
k
c
k
(
η
)
(
a
+
b
)
k
,
asymptotic-expansion
IncI
𝑥
𝑎
𝑏
1
2
complementary-error-function
𝜂
𝑏
2
1
2
𝜋
𝑎
𝑏
superscript
𝑥
subscript
𝑥
0
𝑎
superscript
1
𝑥
1
subscript
𝑥
0
𝑏
superscript
subscript
𝑘
0
superscript
1
𝑘
subscript
𝑐
𝑘
𝜂
superscript
𝑎
𝑏
𝑘
{\displaystyle{\displaystyle I_{x}\left(a,b\right)\sim\tfrac{1}{2}%
\operatorname{erfc}\left(-\eta\sqrt{b/2}\right)+\frac{1}{\sqrt{2\pi(a+b)}}\*%
\left(\frac{x}{x_{0}}\right)^{a}\left(\frac{1-x}{1-x_{0}}\right)^{b}\sum_{k=0}%
^{\infty}\frac{(-1)^{k}c_{k}(\eta)}{(a+b)^{k}},}}
I
x
(
a
,
b
)
IncI
𝑥
𝑎
𝑏
{\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
erfc
z
complementary-error-function
𝑧
{\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}
k
𝑘
{\displaystyle{\displaystyle k}}
a
𝑎
{\displaystyle{\displaystyle a}}
b
𝑏
{\displaystyle{\displaystyle b}}
x
𝑥
{\displaystyle{\displaystyle x}}
c
k
(
η
)
subscript
𝑐
𝑘
𝜂
{\displaystyle{\displaystyle c_{k}(\eta)}}
Identifiers
