DLMF:10.7.E7 (Q3060)

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DLMF:10.7.E7
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    Defining formula
    H ν ( 1 ) ⁡ ( z ) ∼ - H ν ( 2 ) ⁡ ( z ) ∼ - ( i / π ) ⁢ Γ ⁡ ( ν ) ⁢ ( 1 2 ⁢ z ) - ν , asymptotically-equals Hankel-H-1-Bessel-third-kind 𝜈 𝑧 Hankel-H-2-Bessel-third-kind 𝜈 𝑧 asymptotically-equals 𝑖 𝜋 Euler-Gamma 𝜈 superscript 1 2 𝑧 𝜈 {\displaystyle{\displaystyle{H^{(1)}_{\nu}}\left(z\right)\sim-{H^{(2)}_{\nu}}% \left(z\right)\sim-(i/\pi)\Gamma\left(\nu\right)(\tfrac{1}{2}z)^{-\nu},}}
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    DLMF id
    DLMF:10.7.E7
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