DLMF:2.8.E23 (Q958)

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DLMF:2.8.E23
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    W n , 2 ( u , ξ ) = Bi ( u 2 / 3 ξ ) s = 0 n - 1 A s ( ξ ) u 2 s + Bi ( u 2 / 3 ξ ) s = 0 n - 2 B s ( ξ ) u 2 s + ( 4 / 3 ) + envBi ( u 2 / 3 ξ ) O ( 1 u 2 n - 1 ) , subscript 𝑊 𝑛 2 𝑢 𝜉 Airy-Bi superscript 𝑢 2 3 𝜉 superscript subscript 𝑠 0 𝑛 1 subscript 𝐴 𝑠 𝜉 superscript 𝑢 2 𝑠 diffop Airy-Bi 1 superscript 𝑢 2 3 𝜉 superscript subscript 𝑠 0 𝑛 2 subscript 𝐵 𝑠 𝜉 superscript 𝑢 2 𝑠 4 3 envelope-Airy-Bi superscript 𝑢 2 3 𝜉 Big-O 1 superscript 𝑢 2 𝑛 1 {\displaystyle{\displaystyle W_{n,2}(u,\xi)=\mathrm{Bi}\left(u^{2/3}\xi\right)% \sum_{s=0}^{n-1}\frac{A_{s}(\xi)}{u^{2s}}+\mathrm{Bi}'\left(u^{2/3}\xi\right)% \sum_{s=0}^{n-2}\frac{B_{s}(\xi)}{u^{2s+(4/3)}}+\mathrm{envBi}\left(u^{2/3}\xi% \right)O\left(\frac{1}{u^{2n-1}}\right),}}
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