DLMF:10.27.E11 (Q3501)

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DLMF:10.27.E11
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    Y ν ( z ) = e ± ( ν + 1 ) π i / 2 I ν ( z e π i / 2 ) - ( 2 / π ) e ν π i / 2 K ν ( z e π i / 2 ) , Bessel-Y-Weber 𝜈 𝑧 superscript 𝑒 plus-or-minus 𝜈 1 𝜋 𝑖 2 modified-Bessel-first-kind 𝜈 𝑧 superscript 𝑒 minus-or-plus 𝜋 𝑖 2 2 𝜋 superscript 𝑒 minus-or-plus 𝜈 𝜋 𝑖 2 modified-Bessel-second-kind 𝜈 𝑧 superscript 𝑒 minus-or-plus 𝜋 𝑖 2 {\displaystyle{\displaystyle Y_{\nu}\left(z\right)=e^{\pm(\nu+1)\pi i/2}I_{\nu% }\left(ze^{\mp\pi i/2}\right)-(2/\pi)e^{\mp\nu\pi i/2}K_{\nu}\left(ze^{\mp\pi i% /2}\right),}}
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