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Statements
∫
0
π
P
l
1
(
cos
θ
)
P
l
2
(
cos
θ
)
P
l
3
(
cos
θ
)
sin
θ
d
θ
=
2
3
j
l
1
l
2
l
3
000
2
,
superscript
subscript
0
𝜋
shorthand-Legendre-P-first-kind
subscript
𝑙
1
𝜃
shorthand-Legendre-P-first-kind
subscript
𝑙
2
𝜃
shorthand-Legendre-P-first-kind
subscript
𝑙
3
𝜃
𝜃
𝜃
2
threej
subscript
𝑙
1
subscript
𝑙
2
subscript
𝑙
3
superscript
000
2
{\displaystyle{\displaystyle\int_{0}^{\pi}P_{l_{1}}\left(\cos\theta\right)P_{l%
_{2}}\left(\cos\theta\right)P_{l_{3}}\left(\cos\theta\right)\sin\theta\mathrm{%
d}\theta=2\mathit{3j}{l_{1}}{l_{2}}{l_{3}}{0}{0}{0}^{2},}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
∫
{\displaystyle{\displaystyle\int}}
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)}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
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
