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Statements
w
(
λ
)
(
cos
θ
;
a
,
b
)
=
π
-
1
2
2
λ
-
1
e
(
2
θ
-
π
)
τ
a
,
b
(
θ
)
(
sin
θ
)
2
λ
-
1
|
Γ
(
λ
+
i
τ
a
,
b
(
θ
)
)
|
2
,
superscript
𝑤
𝜆
𝜃
𝑎
𝑏
superscript
𝜋
1
superscript
2
2
𝜆
1
superscript
𝑒
2
𝜃
𝜋
subscript
𝜏
𝑎
𝑏
𝜃
superscript
𝜃
2
𝜆
1
Euler-Gamma
𝜆
imaginary-unit
subscript
𝜏
𝑎
𝑏
𝜃
2
{\displaystyle{\displaystyle w^{(\lambda)}(\cos\theta;a,b)=\pi^{-1}\*2^{2%
\lambda-1}\*e^{(2\theta-\pi)\*\tau_{a,b}(\theta)}\*(\sin\theta)^{2\lambda-1}\*%
{\left|\Gamma\left(\lambda+\mathrm{i}\tau_{a,b}(\theta)\right)\right|^{2}},}}
0
<
θ
<
π
0
𝜃
𝜋
{\displaystyle{\displaystyle 0<\theta<\pi}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
w
(
x
)
𝑤
𝑥
{\displaystyle{\displaystyle w(x)}}
τ
a
,
b
(
θ
)
subscript
𝜏
𝑎
𝑏
𝜃
{\displaystyle{\displaystyle\tau_{a,b}(\theta)}}
Identifiers
