DLMF:9.13.E9 (Q2971): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
test:

O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2adec

Revision as of 13:59, 2 January 2020

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DLMF:9.13.E9
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    Statements

    test
    A n ⁡ ( z ) = p / π ⁢ sin ⁡ ( p ⁢ π ) ⁢ z - n / 4 ⁢ e - ζ ⁢ ( 1 + O ⁡ ( ζ - 1 ) ) , ODE-generalized-Airy-A 𝑛 𝑧 𝑝 𝜋 𝑝 𝜋 superscript 𝑧 𝑛 4 superscript 𝑒 𝜁 1 Big-O superscript 𝜁 1 {\displaystyle{\displaystyle A_{n}\left(z\right)=\sqrt{\ifrac{p}{\pi}}\sin% \left(p\pi\right)z^{-n/4}e^{-\zeta}\left(1+O\left(\zeta^{-1}\right)\right),}}
    0 references
    DLMF id
    DLMF:9.13.E9
    0 references
    constraint
    | ph ⁡ z | ≤ 3 ⁢ p ⁢ π - δ phase 𝑧 3 𝑝 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq 3p\pi-\delta}}
    0 references
    Symbols used
    order not exceeding
    test
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2adec
    0 references
     
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