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DLMF:31.10.E22 - MaRDI portal
Statements
π¦
β’
(
r
,
ΞΈ
,
Ο
)
=
r
m
β’
sin
2
β’
p
β‘
ΞΈ
β’
P
β‘
{
0
1
β
0
0
a
cos
2
β‘
ΞΈ
1
2
β’
(
3
-
Ξ³
)
c
b
}
β’
P
β‘
{
0
1
β
0
0
a
β²
cos
2
β‘
Ο
1
-
Ο΅
1
-
Ξ΄
b
β²
}
,
π¦
π
π
italic-Ο
superscript
π
π
2
π
π
Riemann-P-symbol
0
1
absent
0
0
π
2
π
1
2
3
πΎ
π
π
absent
Riemann-P-symbol
0
1
absent
0
0
superscript
π
β²
2
italic-Ο
1
italic-Ο΅
1
πΏ
superscript
π
β²
absent
{\displaystyle{\displaystyle\mathcal{K}(r,\theta,\phi)=r^{m}{\sin^{2p}}\theta P%
\begin{Bmatrix}0&1&\infty&\\
0&0&a&{\cos^{2}}\theta\\
\tfrac{1}{2}(3-\gamma)&c&b&\end{Bmatrix}\*P\begin{Bmatrix}0&1&\infty&\\
0&0&a^{\prime}&{\cos^{2}}\phi\\
1-\epsilon&1-\delta&b^{\prime}&\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}}}
sin
β‘
z
π§
{\displaystyle{\displaystyle\sin\NVar{z}}}
Ξ³
πΎ
{\displaystyle{\displaystyle\gamma}}
Ξ΄
πΏ
{\displaystyle{\displaystyle\delta}}
Ο΅
italic-Ο΅
{\displaystyle{\displaystyle\epsilon}}
m
π
{\displaystyle{\displaystyle m}}
a
π
{\displaystyle{\displaystyle a}}
π¦
β’
(
z
;
s
,
t
)
π¦
π§
π
π‘
{\displaystyle{\displaystyle\mathcal{K}(z;s,t)}}
r
π
{\displaystyle{\displaystyle r}}
ΞΈ
π
{\displaystyle{\displaystyle\theta}}
Ο
italic-Ο
{\displaystyle{\displaystyle\phi}}
b
π
{\displaystyle{\displaystyle b}}
c
π
{\displaystyle{\displaystyle c}}
Identifiers