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DLMF:10.24#Ex1 - MaRDI portal

DLMF:10.24#Ex1 (Q4174)

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DLMF:10.24#Ex1
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    J ~ ν ( x ) = sech ( 1 2 π ν ) ( 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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