DLMF:10.7.E4 (Q3057)

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DLMF:10.7.E4
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    Statements

    test
    Y ν ⁡ ( z ) ∼ - ( 1 / π ) ⁢ Γ ⁡ ( ν ) ⁢ ( 1 2 ⁢ z ) - ν , asymptotically-equals Bessel-Y-Weber 𝜈 𝑧 1 𝜋 Euler-Gamma 𝜈 superscript 1 2 𝑧 𝜈 {\displaystyle{\displaystyle Y_{\nu}\left(z\right)\sim-(1/\pi)\Gamma\left(\nu% \right)(\tfrac{1}{2}z)^{-\nu},}}
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    DLMF id
    DLMF:10.7.E4
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    constraint
    ℜ ⁡ ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}
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    ℜ ⁡ ν > 0 𝜈 0 {\displaystyle{\displaystyle\Re\nu>0}}
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    ν = - 1 2 , - 3 2 , - 5 2 , … 𝜈 1 2 3 2 5 2 … {\displaystyle{\displaystyle\nu=-\tfrac{1}{2},-\tfrac{3}{2},-\tfrac{5}{2},% \ldots}}
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