DLMF:9.6.E19 (Q2799)

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DLMF:9.6.E19
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    test
    H 1 / 3 ( 2 ) ⁡ ( ζ ) = e π ⁢ i / 3 ⁢ H - 1 / 3 ( 2 ) ⁡ ( ζ ) = e π ⁢ i / 6 ⁢ 3 / z ⁢ ( Ai ⁡ ( - z ) + i ⁢ Bi ⁡ ( - z ) ) , Hankel-H-2-Bessel-third-kind 1 3 𝜁 superscript 𝑒 𝜋 𝑖 3 Hankel-H-2-Bessel-third-kind 1 3 𝜁 superscript 𝑒 𝜋 𝑖 6 3 𝑧 Airy-Ai 𝑧 𝑖 Airy-Bi 𝑧 {\displaystyle{\displaystyle{H^{(2)}_{1/3}}\left(\zeta\right)=e^{\pi i/3}{H^{(% 2)}_{-1/3}}\left(\zeta\right)=e^{\pi i/6}\sqrt{3/z}\left(\mathrm{Ai}\left(-z% \right)+i\mathrm{Bi}\left(-z\right)\right),}}
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    DLMF:9.6.E19
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