DLMF:9.7.E6 (Q2813): Difference between revisions

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Property / constraint
 

| ph z | π - δ phase 𝑧 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi-\delta}}

|\phase@@{z}|\leq\pi-\delta
Property / constraint: | ph z | π - δ phase 𝑧 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi-\delta}} / rank
 
Normal rank

Revision as of 16:13, 30 December 2019

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DLMF:9.7.E6
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    Statements

    Ai ( z ) - z 1 / 4 e - ζ 2 π k = 0 ( - 1 ) k v k ζ k , asymptotic-expansion diffop Airy-Ai 1 𝑧 superscript 𝑧 1 4 superscript 𝑒 𝜁 2 𝜋 superscript subscript 𝑘 0 superscript 1 𝑘 subscript 𝑣 𝑘 superscript 𝜁 𝑘 {\displaystyle{\displaystyle\mathrm{Ai}'\left(z\right)\sim-\frac{z^{1/4}e^{-% \zeta}}{2\sqrt{\pi}}\sum_{k=0}^{\infty}(-1)^{k}\frac{v_{k}}{\zeta^{k}},}}
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    | ph z | π - δ phase 𝑧 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi-\delta}}
    0 references