DLMF:10.24#Ex1 (Q3477)

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DLMF:10.24#Ex1
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    Defining formula
    J ~ ν ⁡ ( x ) = sech ⁡ ( 1 2 ⁢ π ⁢ ν ) ⁢ ℜ ⁡ ( J i ⁢ ν ⁡ ( x ) ) , Bessel-J-imaginary-order 𝜈 𝑥 1 2 𝜋 𝜈 Bessel-J 𝑖 𝜈 𝑥 {\displaystyle{\displaystyle\widetilde{J}_{\nu}\left(x\right)=\operatorname{% sech}\left(\tfrac{1}{2}\pi\nu\right)\Re(J_{i\nu}\left(x\right)),}}
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    DLMF id
    DLMF:10.24#Ex1
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