DLMF:11.10.E20 (Q4038)

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DLMF:11.10.E20
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    test
    𝐉 1 2 ⁡ ( z ) = - 𝐄 - 1 2 ⁡ ( z ) = ( 1 2 ⁢ π ⁢ z ) - 1 2 ⁢ ( A + ⁢ ( χ ) ⁢ sin ⁡ z + A - ⁢ ( χ ) ⁢ cos ⁡ z ) , Anger-J 1 2 𝑧 Weber-E 1 2 𝑧 superscript 1 2 𝜋 𝑧 1 2 subscript 𝐴 𝜒 𝑧 subscript 𝐴 𝜒 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\frac{1}{2}}\left(z\right)=-\mathbf{E}% _{-\frac{1}{2}}\left(z\right)\\ =(\tfrac{1}{2}\pi z)^{-\frac{1}{2}}(A_{+}(\chi)\sin z+A_{-}(\chi)\cos z),}}
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    DLMF id
    DLMF:11.10.E20
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