Formula:10430

Digital Library of Mathematical Functions ID 34.4.E1

${\displaystyle{\displaystyle\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{l_{1}}{l_{2}}{l_{3}}=\sum_{m_{r}m^{\prime}_{s}}(-1)^{l_{1}+m^{\prime}_{1}+l_{2}+m^{\prime}_{2}+l_{3}+m^{\prime}_{3}}\*\mathit{3j}{j_{1}}{j_{2}}{j_{3}}{m_{1}}{m_{2}}{m_{3}}\mathit{3j}{j_{1}}{l_{2}}{l_{3}}{m_{1}}{m^{\prime}_{2}}{-m^{\prime}_{3}}\mathit{3j}{l_{1}}{j_{2}}{l_{3}}{-m^{\prime}_{1}}{m_{2}}{m^{\prime}_{3}}\mathit{3j}{l_{1}}{l_{2}}{j_{3}}{m^{\prime}_{1}}{-m^{\prime}_{2}}{m_{3}},}}$

Symbols List

• ${\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.
• ${\displaystyle{\displaystyle l,l_{r}}}$: non-negative integers or non-negative integers plus one half.
• ${\displaystyle{\displaystyle r}}$: nonnegative integer
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