DLMF:34.3.E11 (Q9726)

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DLMF:34.3.E11
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    3 j j 1 j 2 j 3 m 1 m 2 m 3 = 3 j j 1 1 2 ( j 2 + j 3 + m 1 ) 1 2 ( j 2 + j 3 - m 1 ) j 2 - j 3 1 2 ( j 3 - j 2 + m 1 ) + m 2 1 2 ( j 3 - j 2 + m 1 ) + m 3 , threej subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑚 1 subscript 𝑚 2 subscript 𝑚 3 threej subscript 𝑗 1 1 2 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑚 1 1 2 subscript 𝑗 2 subscript 𝑗 3 subscript 𝑚 1 subscript 𝑗 2 subscript 𝑗 3 1 2 subscript 𝑗 3 subscript 𝑗 2 subscript 𝑚 1 subscript 𝑚 2 1 2 subscript 𝑗 3 subscript 𝑗 2 subscript 𝑚 1 subscript 𝑚 3 {\displaystyle{\displaystyle\mathit{3j}{j_{1}}{j_{2}}{j_{3}}{m_{1}}{m_{2}}{m_{% 3}}=\mathit{3j}{j_{1}}{\frac{1}{2}(j_{2}+j_{3}+m_{1})}{\frac{1}{2}(j_{2}+j_{3}% -m_{1})}{j_{2}-j_{3}}{\frac{1}{2}(j_{3}-j_{2}+m_{1})+m_{2}}{\frac{1}{2}(j_{3}-% j_{2}+m_{1})+m_{3}},}}
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    DLMF:34.3.E11
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