DLMF:9.7.E8 (Q2815): Difference between revisions

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Property / constraint
 

| ph z | 1 3 π - δ phase 𝑧 1 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi-\delta}}

|\phase@@{z}|\leq\tfrac{1}{3}\pi-\delta
Property / constraint: | ph z | 1 3 π - δ phase 𝑧 1 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi-\delta}} / rank
 
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Revision as of 17:13, 30 December 2019

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DLMF:9.7.E8
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    Statements

    Bi ( z ) z 1 / 4 e ζ π k = 0 v k ζ k , asymptotic-expansion diffop Airy-Bi 1 𝑧 superscript 𝑧 1 4 superscript 𝑒 𝜁 𝜋 superscript subscript 𝑘 0 subscript 𝑣 𝑘 superscript 𝜁 𝑘 {\displaystyle{\displaystyle\mathrm{Bi}'\left(z\right)\sim\frac{z^{1/4}e^{% \zeta}}{\sqrt{\pi}}\sum_{k=0}^{\infty}\frac{v_{k}}{\zeta^{k}},}}
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    DLMF:9.7.E8
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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}}
    0 references