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DLMF:15.11.E8 - MaRDI portal
Statements
z
λ
(
1
-
z
)
μ
P
{
0
1
∞
a
1
b
1
c
1
z
a
2
b
2
c
2
}
=
P
{
0
1
∞
a
1
+
λ
b
1
+
μ
c
1
-
λ
-
μ
z
a
2
+
λ
b
2
+
μ
c
2
-
λ
-
μ
}
,
superscript
𝑧
𝜆
superscript
1
𝑧
𝜇
Riemann-P-symbol
0
1
absent
subscript
𝑎
1
subscript
𝑏
1
subscript
𝑐
1
𝑧
subscript
𝑎
2
subscript
𝑏
2
subscript
𝑐
2
absent
Riemann-P-symbol
0
1
absent
subscript
𝑎
1
𝜆
subscript
𝑏
1
𝜇
subscript
𝑐
1
𝜆
𝜇
𝑧
subscript
𝑎
2
𝜆
subscript
𝑏
2
𝜇
subscript
𝑐
2
𝜆
𝜇
absent
{\displaystyle{\displaystyle z^{\lambda}(1-z)^{\mu}P\begin{Bmatrix}0&1&\infty&%
\\
a_{1}&b_{1}&c_{1}&z\\
a_{2}&b_{2}&c_{2}&\end{Bmatrix}=P\begin{Bmatrix}0&1&\infty&\\
a_{1}+\lambda&b_{1}+\mu&c_{1}-\lambda-\mu&z\\
a_{2}+\lambda&b_{2}+\mu&c_{2}-\lambda-\mu&\end{Bmatrix},}}
P
{
α
β
γ
a
1
b
1
c
1
z
a
2
b
2
c
2
}
Riemann-P-symbol
𝛼
𝛽
𝛾
absent
subscript
𝑎
1
subscript
𝑏
1
subscript
𝑐
1
𝑧
subscript
𝑎
2
subscript
𝑏
2
subscript
𝑐
2
absent
{\displaystyle{\displaystyle P\NVar{\begin{Bmatrix}\alpha&\beta&\gamma&\\
a_{1}&b_{1}&c_{1}&z\\
a_{2}&b_{2}&c_{2}&\end{Bmatrix}}}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
𝑎
{\displaystyle{\displaystyle a}}
b
𝑏
{\displaystyle{\displaystyle b}}
c
𝑐
{\displaystyle{\displaystyle c}}
λ
𝜆
{\displaystyle{\displaystyle\lambda}}
μ
𝜇
{\displaystyle{\displaystyle\mu}}
Identifiers