DLMF:10.34.E4 (Q3545)

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DLMF:10.34.E4
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    test
    K ν ⁡ ( z ⁢ e m ⁢ π ⁢ i ) = csc ⁡ ( ν ⁢ π ) ⁢ ( ± sin ⁡ ( m ⁢ ν ⁢ π ) ⁢ K ν ⁡ ( z ⁢ e ± π ⁢ i ) ∓ sin ⁡ ( ( m ∓ 1 ) ⁢ ν ⁢ π ) ⁢ K ν ⁡ ( z ) ) . modified-Bessel-second-kind 𝜈 𝑧 superscript 𝑒 𝑚 𝜋 𝑖 𝜈 𝜋 minus-or-plus plus-or-minus 𝑚 𝜈 𝜋 modified-Bessel-second-kind 𝜈 𝑧 superscript 𝑒 plus-or-minus 𝜋 𝑖 minus-or-plus 𝑚 1 𝜈 𝜋 modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\nu}\left(ze^{m\pi i}\right)=\csc\left(\nu\pi% \right)\left(\pm\sin\left(m\nu\pi\right)K_{\nu}\left(ze^{\pm\pi i}\right)\mp% \sin\left((m\mp 1)\nu\pi\right)K_{\nu}\left(z\right)\right).}}
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    DLMF id
    DLMF:10.34.E4
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