DLMF:11.10.E8 (Q4025)

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DLMF:11.10.E8
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    Defining formula
    𝐉 ν ⁡ ( z ) = cos ⁡ ( 1 2 ⁢ π ⁢ ν ) ⁢ S 1 ⁢ ( ν , z ) + sin ⁡ ( 1 2 ⁢ π ⁢ ν ) ⁢ S 2 ⁢ ( ν , z ) , Anger-J 𝜈 𝑧 1 2 𝜋 𝜈 subscript 𝑆 1 𝜈 𝑧 1 2 𝜋 𝜈 subscript 𝑆 2 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\nu}\left(z\right)=\cos\left(\tfrac{1}% {2}\pi\nu\right)\,S_{1}(\nu,z)+\sin\left(\tfrac{1}{2}\pi\nu\right)\,S_{2}(\nu,% z),}}
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    DLMF id
    DLMF:11.10.E8
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