DLMF:10.16#Ex4 (Q3159)

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DLMF:10.16#Ex4
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    Defining formula
    H 1 2 ( 2 ) ⁡ ( z ) = i ⁢ H - 1 2 ( 2 ) ⁡ ( z ) = i ⁢ ( 2 π ⁢ z ) 1 2 ⁢ e - i ⁢ z . Hankel-H-2-Bessel-third-kind 1 2 𝑧 𝑖 Hankel-H-2-Bessel-third-kind 1 2 𝑧 𝑖 superscript 2 𝜋 𝑧 1 2 superscript 𝑒 𝑖 𝑧 {\displaystyle{\displaystyle{H^{(2)}_{\frac{1}{2}}}\left(z\right)=i{H^{(2)}_{-% \frac{1}{2}}}\left(z\right)=i\left(\frac{2}{\pi z}\right)^{\frac{1}{2}}e^{-iz}% .}}
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    DLMF id
    DLMF:10.16#Ex4
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