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DLMF:31.10.E9 - MaRDI portal
Statements
π¦
β’
(
ΞΈ
,
Ο
)
=
P
β‘
{
0
1
β
0
1
2
-
Ξ΄
-
Ο
Ξ±
cos
2
β‘
ΞΈ
1
-
Ξ³
1
2
-
Ο΅
+
Ο
Ξ²
}
β’
P
β‘
{
0
1
β
0
0
-
1
2
+
Ξ΄
+
Ο
cos
2
β‘
Ο
1
-
Ο΅
1
-
Ξ΄
-
1
2
+
Ο΅
-
Ο
}
,
π¦
π
italic-Ο
Riemann-P-symbol
0
1
absent
0
1
2
πΏ
π
πΌ
2
π
1
πΎ
1
2
italic-Ο΅
π
π½
absent
Riemann-P-symbol
0
1
absent
0
0
1
2
πΏ
π
2
italic-Ο
1
italic-Ο΅
1
πΏ
1
2
italic-Ο΅
π
absent
{\displaystyle{\displaystyle\mathcal{K}(\theta,\phi)=P\begin{Bmatrix}0&1&%
\infty&\\
0&\frac{1}{2}-\delta-\sigma&\alpha&{\cos^{2}}\theta\\
1-\gamma&\frac{1}{2}-\epsilon+\sigma&\beta&\end{Bmatrix}\*P\begin{Bmatrix}0&1&%
\infty&\\
0&0&-\frac{1}{2}+\delta+\sigma&{\cos^{2}}\phi\\
1-\epsilon&1-\delta&-\frac{1}{2}+\epsilon-\sigma&\end{Bmatrix},}}
P
β‘
{
Ξ±
Ξ²
Ξ³
a
1
b
1
c
1
z
a
2
b
2
c
2
}
Riemann-P-symbol
πΌ
π½
πΎ
absent
subscript
π
1
subscript
π
1
subscript
π
1
π§
subscript
π
2
subscript
π
2
subscript
π
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}}}}
cos
β‘
z
π§
{\displaystyle{\displaystyle\cos\NVar{z}}}
Ξ³
πΎ
{\displaystyle{\displaystyle\gamma}}
Ξ΄
πΏ
{\displaystyle{\displaystyle\delta}}
Ο΅
italic-Ο΅
{\displaystyle{\displaystyle\epsilon}}
Ξ±
πΌ
{\displaystyle{\displaystyle\alpha}}
Ξ²
π½
{\displaystyle{\displaystyle\beta}}
π¦
β’
(
z
,
t
)
π¦
π§
π‘
{\displaystyle{\displaystyle\mathcal{K}(z,t)}}
ΞΈ
π
{\displaystyle{\displaystyle\theta}}
Ο
italic-Ο
{\displaystyle{\displaystyle\phi}}
Ο
π
{\displaystyle{\displaystyle\sigma}}
Identifiers