Formula:10413

Digital Library of Mathematical Functions ID 34.3.E6

${\displaystyle{\displaystyle\mathit{3j}{j_{1}}{j_{2}}{j_{1}+j_{2}}{m_{1}}{m_{2}}{-m_{1}-m_{2}}=(-1)^{j_{1}-j_{2}+m_{1}+m_{2}}\left(\frac{(2j_{1})!(2j_{2})!(j_{1}+j_{2}+m_{1}+m_{2})!(j_{1}+j_{2}-m_{1}-m_{2})!}{(2j_{1}+2j_{2}+1)!(j_{1}+m_{1})!(j_{1}-m_{1})!(j_{2}+m_{2})!(j_{2}-m_{2})!}\right)^{\frac{1}{2}},}}$

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\mathit{3j}{\NVar{j_{1}}}{\NVar{j_{2}}}{\NVar{j_{3}}}{\NVar{m_{1}}}{\NVar{missing}\)\@add@PDF@RDFa@triples\end{document}}}}$: $$\mathit{3j}$$ symbol
• ${\displaystyle{\displaystyle j,j_{r}}}$: non-negative integers or non-negative integers plus one half.
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