DLMF:10.11.E2 (Q3104)

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DLMF:10.11.E2
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    Y ν ⁡ ( z ⁢ e m ⁢ π ⁢ i ) = e - m ⁢ ν ⁢ π ⁢ i ⁢ Y ν ⁡ ( z ) + 2 ⁢ i ⁢ sin ⁡ ( m ⁢ ν ⁢ π ) ⁢ cot ⁡ ( ν ⁢ π ) ⁢ J ν ⁡ ( z ) . Bessel-Y-Weber 𝜈 𝑧 superscript 𝑒 𝑚 𝜋 𝑖 superscript 𝑒 𝑚 𝜈 𝜋 𝑖 Bessel-Y-Weber 𝜈 𝑧 2 𝑖 𝑚 𝜈 𝜋 𝜈 𝜋 Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\nu}\left(ze^{m\pi i}\right)=e^{-m\nu\pi i}Y_{% \nu}\left(z\right)+2i\sin\left(m\nu\pi\right)\cot\left(\nu\pi\right)J_{\nu}% \left(z\right).}}
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    DLMF:10.11.E2
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