DLMF:9.8.E13 (Q2845): 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.m2addec

Revision as of 14:39, 2 January 2020

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DLMF:9.8.E13
No description defined

    Statements

    Defining formula
    M ⁡ ( x ) ⁢ N ⁡ ( x ) ⁢ sin ⁡ ( θ ⁡ ( x ) - ϕ ⁡ ( x ) ) = π - 1 , modulus-Airy-M 𝑥 modulus-Airy-N 𝑥 phase-Airy-Theta 𝑥 phase-Airy-Phi 𝑥 superscript 𝜋 1 {\displaystyle{\displaystyle M\left(x\right)N\left(x\right)\sin\left(\theta% \left(x\right)-\phi\left(x\right)\right)=\pi^{-1},}}
    0 references
    DLMF id
    DLMF:9.8.E13
    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.m2abdec
    0 references
    Airy modulus function
    Defining formula
    M ⁡ ( z ) modulus-Airy-M 𝑧 {\displaystyle{\displaystyle M\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E3.m2addec
    0 references
    Airy modulus function
    Defining formula
    N ⁡ ( z ) modulus-Airy-N 𝑧 {\displaystyle{\displaystyle N\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E7.m2addec
    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.m2addec
    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.m2addec
    0 references
     
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