DLMF:34.5.E2 (Q9742)

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DLMF:34.5.E2
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    6 j j 1 j 2 j 3 1 2 j 3 - 1 2 j 2 + 1 2 = ( - 1 ) J ( ( j 1 + j 3 - j 2 ) ( j 1 + j 2 - j 3 + 1 ) ( 2 j 2 + 1 ) ( 2 j 2 + 2 ) 2 j 3 ( 2 j 3 + 1 ) ) 1 2 , sixj subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 1 2 subscript 𝑗 3 1 2 subscript 𝑗 2 1 2 superscript 1 𝐽 superscript subscript 𝑗 1 subscript 𝑗 3 subscript 𝑗 2 subscript 𝑗 1 subscript 𝑗 2 subscript 𝑗 3 1 2 subscript 𝑗 2 1 2 subscript 𝑗 2 2 2 subscript 𝑗 3 2 subscript 𝑗 3 1 1 2 {\displaystyle{\displaystyle\mathit{6j}{j_{1}}{j_{2}}{j_{3}}{\frac{1}{2}}{j_{3% }-\frac{1}{2}}{j_{2}+\frac{1}{2}}=(-1)^{J}\left(\frac{(j_{1}+j_{3}-j_{2})(j_{1% }+j_{2}-j_{3}+1)}{(2j_{2}+1)(2j_{2}+2)2j_{3}(2j_{3}+1)}\right)^{\frac{1}{2}},}}
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    DLMF:34.5.E2
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