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DLMF:34.3.E19 - MaRDI portal
Statements
P
l
1
(
cos
θ
)
P
l
2
(
cos
θ
)
=
∑
l
(
2
l
+
1
)
3
j
l
1
l
2
l
000
2
P
l
(
cos
θ
)
,
shorthand-Legendre-P-first-kind
subscript
𝑙
1
𝜃
shorthand-Legendre-P-first-kind
subscript
𝑙
2
𝜃
subscript
𝑙
2
𝑙
1
threej
subscript
𝑙
1
subscript
𝑙
2
𝑙
superscript
000
2
shorthand-Legendre-P-first-kind
𝑙
𝜃
{\displaystyle{\displaystyle P_{l_{1}}\left(\cos\theta\right)P_{l_{2}}\left(%
\cos\theta\right)=\sum_{l}(2l+1)\mathit{3j}{l_{1}}{l_{2}}{l}{0}{0}{0}^{2}P_{l}%
\left(\cos\theta\right),}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
P
ν
(
z
)
=
P
ν
0
(
z
)
shorthand-Legendre-P-first-kind
𝜈
𝑧
Legendre-P-first-kind
0
𝜈
𝑧
{\displaystyle{\displaystyle P_{\NVar{\nu}}\left(\NVar{z}\right)=P^{0}_{\nu}%
\left(z\right)}}
3
j
j
1
j
2
j
3
m
1
missing
threej
subscript
𝑗
1
subscript
𝑗
2
subscript
𝑗
3
subscript
𝑚
1
missing
{\displaystyle{\displaystyle\mathit{3j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3%
}}}{\NVar{m_{1}}}{\NVar{missing}\)\@add@PDF@RDFa@triples\end{document}}}}
l
,
l
r
𝑙
subscript
𝑙
𝑟
{\displaystyle{\displaystyle l,l_{r}}}
Identifiers