DLMF:10.17.E5 (Q3174)

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DLMF:10.17.E5
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    H ν ( 1 ) ( z ) ( 2 π z ) 1 2 e i ω k = 0 i k a k ( ν ) z k , asymptotic-expansion Hankel-H-1-Bessel-third-kind 𝜈 𝑧 superscript 2 𝜋 𝑧 1 2 superscript 𝑒 𝑖 𝜔 superscript subscript 𝑘 0 superscript 𝑖 𝑘 subscript 𝑎 𝑘 𝜈 superscript 𝑧 𝑘 {\displaystyle{\displaystyle{H^{(1)}_{\nu}}\left(z\right)\sim\left(\frac{2}{% \pi z}\right)^{\frac{1}{2}}e^{i\omega}\sum_{k=0}^{\infty}i^{k}\frac{a_{k}(\nu)% }{z^{k}},}}
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    DLMF:10.17.E5
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    - π + δ ph z 2 π - δ 𝜋 𝛿 phase 𝑧 2 𝜋 𝛿 {\displaystyle{\displaystyle-\pi+\delta\leq\operatorname{ph}z\leq 2\pi-\delta}}
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