DLMF:9.12.E8 (Q2936): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Scorer function (inhomogeneous Airy function) / rank
 
Normal rank
Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
 
Defining formula:

Gi ⁡ ( z ) Scorer-Gi 𝑧 {\displaystyle{\displaystyle\mathrm{Gi}\left(\NVar{z}\right)}}

\ScorerGi@{\NVar{z}}
Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
 
xml-id: C9.S12.E4.m2aedec

Revision as of 14:52, 2 January 2020

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DLMF:9.12.E8
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    Statements

    Defining formula
    - Gi ⁡ ( z ) , Ai ⁡ ( z ) , Bi ⁡ ( z ) , Scorer-Gi 𝑧 Airy-Ai 𝑧 Airy-Bi 𝑧 {\displaystyle{\displaystyle-\mathrm{Gi}\left(z\right),\mathrm{Ai}\left(z% \right),\mathrm{Bi}\left(z\right),}}
    0 references
    DLMF id
    DLMF:9.12.E8
    0 references
    constraint
    | ph ⁡ z | ≤ 1 3 ⁢ π phase 𝑧 1 3 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi}}
    0 references
    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1abdec
    0 references
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2addec
    0 references
    Scorer function (inhomogeneous Airy function)
    Defining formula
    Gi ⁡ ( z ) Scorer-Gi 𝑧 {\displaystyle{\displaystyle\mathrm{Gi}\left(\NVar{z}\right)}}
    xml-id
    C9.S12.E4.m2aedec
    0 references
     
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