DLMF:10.7.E5 (Q3058)

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DLMF:10.7.E5
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    Statements

    test
    Y - ν ⁡ ( z ) ∼ - ( 1 / π ) ⁢ cos ⁡ ( ν ⁢ π ) ⁢ Γ ⁡ ( ν ) ⁢ ( 1 2 ⁢ z ) - ν , asymptotically-equals Bessel-Y-Weber 𝜈 𝑧 1 𝜋 𝜈 𝜋 Euler-Gamma 𝜈 superscript 1 2 𝑧 𝜈 {\displaystyle{\displaystyle Y_{-\nu}\left(z\right)\sim-(1/\pi)\cos\left(\nu% \pi\right)\Gamma\left(\nu\right)(\tfrac{1}{2}z)^{-\nu},}}
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    DLMF id
    DLMF:10.7.E5
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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\neq\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},% \ldots}}
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