DLMF:9.12.E26 (Q2954)

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DLMF:9.12.E26
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    Gi ( z ) - 1 π z 2 k = 0 ( 3 k + 1 ) ! k ! ( 3 z 3 ) k , asymptotic-expansion diffop Scorer-Gi 1 𝑧 1 𝜋 superscript 𝑧 2 superscript subscript 𝑘 0 3 𝑘 1 𝑘 superscript 3 superscript 𝑧 3 𝑘 {\displaystyle{\displaystyle\mathrm{Gi}'\left(z\right)\sim-\frac{1}{\pi z^{2}}% \sum_{k=0}^{\infty}\frac{(3k+1)!}{k!(3z^{3})^{k}},}}
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    | ph z | 1 3 π - δ phase 𝑧 1 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi-\delta}}
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