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Statements
w
1
(
ν
,
μ
,
x
)
=
2
μ
Γ
(
1
2
ν
+
1
2
μ
+
1
2
)
Γ
(
1
2
ν
-
1
2
μ
+
1
)
(
1
-
x
2
)
-
μ
/
2
𝐅
(
-
1
2
ν
-
1
2
μ
,
1
2
ν
-
1
2
μ
+
1
2
;
1
2
;
x
2
)
,
subscript
𝑤
1
𝜈
𝜇
𝑥
superscript
2
𝜇
Euler-Gamma
1
2
𝜈
1
2
𝜇
1
2
Euler-Gamma
1
2
𝜈
1
2
𝜇
1
superscript
1
superscript
𝑥
2
𝜇
2
scaled-hypergeometric-bold-F
1
2
𝜈
1
2
𝜇
1
2
𝜈
1
2
𝜇
1
2
1
2
superscript
𝑥
2
{\displaystyle{\displaystyle w_{1}(\nu,\mu,x)=\frac{2^{\mu}\Gamma\left(\frac{1%
}{2}\nu+\frac{1}{2}\mu+\frac{1}{2}\right)}{\Gamma\left(\frac{1}{2}\nu-\frac{1}%
{2}\mu+1\right)}\left(1-x^{2}\right)^{-\mu/2}\mathbf{F}\left(-\tfrac{1}{2}\nu-%
\tfrac{1}{2}\mu,\tfrac{1}{2}\nu-\tfrac{1}{2}\mu+\tfrac{1}{2};\tfrac{1}{2};x^{2%
}\right),}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
𝐅
(
a
,
b
;
c
;
z
)
scaled-hypergeometric-bold-F
𝑎
𝑏
𝑐
𝑧
{\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z%
}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
μ
𝜇
{\displaystyle{\displaystyle\mu}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
w
2
subscript
𝑤
2
{\displaystyle{\displaystyle w_{2}}}
