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Statements
I
x
(
a
,
b
)
∼
Q
(
b
,
a
ζ
)
-
(
2
π
b
)
-
1
/
2
Γ
~
(
b
)
(
x
x
0
)
a
(
1
-
x
1
-
x
0
)
b
∑
k
=
0
∞
h
k
(
ζ
,
μ
)
a
k
,
asymptotic-expansion
IncI
𝑥
𝑎
𝑏
incomplete-gamma-Q
𝑏
𝑎
𝜁
superscript
2
𝜋
𝑏
1
2
~
Γ
𝑏
superscript
𝑥
subscript
𝑥
0
𝑎
superscript
1
𝑥
1
subscript
𝑥
0
𝑏
superscript
subscript
𝑘
0
subscript
ℎ
𝑘
𝜁
𝜇
superscript
𝑎
𝑘
{\displaystyle{\displaystyle I_{x}\left(a,b\right)\sim Q\left(b,a\zeta\right)-%
\frac{(2\pi b)^{-1/2}}{\widetilde{\Gamma}(b)}\left(\frac{x}{x_{0}}\right)^{a}%
\left(\frac{1-x}{1-x_{0}}\right)^{b}\sum_{k=0}^{\infty}\frac{h_{k}(\zeta,\mu)}%
{a^{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}}
Q
(
a
,
z
)
incomplete-gamma-Q
𝑎
𝑧
{\displaystyle{\displaystyle Q\left(\NVar{a},\NVar{z}\right)}}
k
𝑘
{\displaystyle{\displaystyle k}}
a
𝑎
{\displaystyle{\displaystyle a}}
b
𝑏
{\displaystyle{\displaystyle b}}
x
𝑥
{\displaystyle{\displaystyle x}}
Γ
~
(
z
)
~
Γ
𝑧
{\displaystyle{\displaystyle\widetilde{\Gamma}(z)}}
μ
𝜇
{\displaystyle{\displaystyle\mu}}
ζ
𝜁
{\displaystyle{\displaystyle\zeta}}
h
k
(
ζ
,
μ
)
subscript
ℎ
𝑘
𝜁
𝜇
{\displaystyle{\displaystyle h_{k}(\zeta,\mu)}}
Identifiers
