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Statements
w
1
(
z
)
=
e
(
c
-
b
)
π
i
Γ
(
c
)
Γ
(
1
-
a
)
Γ
(
b
)
Γ
(
c
-
a
-
b
+
1
)
w
4
(
z
)
+
e
-
b
π
i
Γ
(
c
)
Γ
(
1
-
a
)
Γ
(
b
-
a
+
1
)
Γ
(
c
-
b
)
w
6
(
z
)
,
subscript
𝑤
1
𝑧
superscript
𝑒
𝑐
𝑏
𝜋
imaginary-unit
Euler-Gamma
𝑐
Euler-Gamma
1
𝑎
Euler-Gamma
𝑏
Euler-Gamma
𝑐
𝑎
𝑏
1
subscript
𝑤
4
𝑧
superscript
𝑒
𝑏
𝜋
imaginary-unit
Euler-Gamma
𝑐
Euler-Gamma
1
𝑎
Euler-Gamma
𝑏
𝑎
1
Euler-Gamma
𝑐
𝑏
subscript
𝑤
6
𝑧
{\displaystyle{\displaystyle w_{1}(z)=e^{(c-b)\pi\mathrm{i}}\frac{\Gamma\left(%
c\right)\Gamma\left(1-a\right)}{\Gamma\left(b\right)\Gamma\left(c-a-b+1\right)%
}w_{4}(z)+e^{-b\pi\mathrm{i}}\frac{\Gamma\left(c\right)\Gamma\left(1-a\right)}%
{\Gamma\left(b-a+1\right)\Gamma\left(c-b\right)}w_{6}(z),}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
𝑎
{\displaystyle{\displaystyle a}}
b
𝑏
{\displaystyle{\displaystyle b}}
c
𝑐
{\displaystyle{\displaystyle c}}
w
m
(
z
)
subscript
𝑤
𝑚
𝑧
{\displaystyle{\displaystyle w_{m}(z)}}
Identifiers
