DLMF:10.9#Ex7 (Q3086)

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DLMF:10.9#Ex7
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    Defining formula
    H ν ( 1 ) ⁡ ( z ) = 1 π ⁢ i ⁢ ∫ - ∞ ∞ + π ⁢ i e z ⁢ sinh ⁡ t - ν ⁢ t ⁢ d t , Hankel-H-1-Bessel-third-kind 𝜈 𝑧 1 𝜋 𝑖 superscript subscript 𝜋 𝑖 superscript 𝑒 𝑧 𝑡 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle{H^{(1)}_{\nu}}\left(z\right)=\frac{1}{\pi i}\int_% {-\infty}^{\infty+\pi i}e^{z\sinh t-\nu t}\mathrm{d}t,}}
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    DLMF id
    DLMF:10.9#Ex7
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