DLMF:10.16#Ex3 (Q3158)

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DLMF:10.16#Ex3
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    Defining formula
    H 1 2 ( 1 ) ⁡ ( z ) = - i ⁢ H - 1 2 ( 1 ) ⁡ ( z ) = - i ⁢ ( 2 π ⁢ z ) 1 2 ⁢ e i ⁢ z , Hankel-H-1-Bessel-third-kind 1 2 𝑧 𝑖 Hankel-H-1-Bessel-third-kind 1 2 𝑧 𝑖 superscript 2 𝜋 𝑧 1 2 superscript 𝑒 𝑖 𝑧 {\displaystyle{\displaystyle{H^{(1)}_{\frac{1}{2}}}\left(z\right)=-i{H^{(1)}_{% -\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#Ex3
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