DLMF:9.9.E1 (Q2859): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Airy phase function / rank
 
Normal rank
Property / Symbols used: Airy phase function / qualifier
 
Defining formula:

θ ⁡ ( z ) phase-Airy-Theta 𝑧 {\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}}

\Airyphasetheta@{\NVar{z}}
Property / Symbols used: Airy phase function / qualifier
 
xml-id: C9.S8.E4.m2adec

Revision as of 14:41, 2 January 2020

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DLMF:9.9.E1
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    Statements

    Defining formula
    θ ⁡ ( a k ) = ϕ ⁡ ( a k + 1 ′ ) = k ⁢ π , phase-Airy-Theta zero-Airy-Ai 𝑘 phase-Airy-Phi zero-derivative-Airy-Ai 𝑘 1 𝑘 𝜋 {\displaystyle{\displaystyle\theta\left(a_{k}\right)=\phi\left(a^{\prime}_{k+1% }\right)=k\pi,}}
    0 references
    DLMF id
    DLMF:9.9.E1
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    Airy phase function
    Defining formula
    ϕ ⁡ ( z ) phase-Airy-Phi 𝑧 {\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E8.m2adec
    0 references
    Airy phase function
    Defining formula
    θ ⁡ ( z ) phase-Airy-Theta 𝑧 {\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E4.m2adec
    0 references
     
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