DLMF:10.17.E12 (Q3181)

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DLMF:10.17.E12
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    H ν ( 2 ) ′ ⁡ ( z ) ∼ - i ⁢ ( 2 π ⁢ z ) 1 2 ⁢ e - i ⁢ ω ⁢ ∑ k = 0 ∞ ( - i ) k ⁢ b k ⁢ ( ν ) z k , asymptotic-expansion diffop Hankel-H-2-Bessel-third-kind 𝜈 1 𝑧 𝑖 superscript 2 𝜋 𝑧 1 2 superscript 𝑒 𝑖 𝜔 superscript subscript 𝑘 0 superscript 𝑖 𝑘 subscript 𝑏 𝑘 𝜈 superscript 𝑧 𝑘 {\displaystyle{\displaystyle{H^{(2)}_{\nu}}'\left(z\right)\sim-i\left(\frac{2}% {\pi z}\right)^{\frac{1}{2}}e^{-i\omega}\sum_{k=0}^{\infty}(-i)^{k}\frac{b_{k}% (\nu)}{z^{k}},}}
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    DLMF:10.17.E12
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