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

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Property / Symbols used
 
Property / Symbols used: Airy phase function / rank
 
Normal rank
Property / Symbols used: Airy phase function / qualifier
 
Defining formula:

ϕ ⁡ ( z ) phase-Airy-Phi 𝑧 {\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}

\Airyphasederivphi@{\NVar{z}}
Property / Symbols used: Airy phase function / qualifier
 
xml-id: C9.S8.E8.m2adec
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
Property / Symbols used
 
Property / Symbols used: Q11394 / rank
 
Normal rank
Property / Symbols used: Q11394 / qualifier
 
Defining formula:

a k zero-Airy-Ai 𝑘 {\displaystyle{\displaystyle a_{\NVar{k}}}}

\zAirya{\NVar{k}}
Property / Symbols used: Q11394 / qualifier
 
xml-id: C9.S9.SS1.p1.m5adec
Property / Symbols used
 
Property / Symbols used: Q11395 / rank
 
Normal rank
Property / Symbols used: Q11395 / qualifier
 
Defining formula:

a k ′ zero-derivative-Airy-Ai 𝑘 {\displaystyle{\displaystyle a^{\prime}_{\NVar{k}}}}

\zderivAirya{\NVar{k}}
Property / Symbols used: Q11395 / qualifier
 
xml-id: C9.S9.SS1.p1.m11adec
Property / Symbols used
 
Property / Symbols used: Q11385 / rank
 
Normal rank
Property / Symbols used: Q11385 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11385 / qualifier
 
xml-id: C9.S1.XMD1.m1dec

Latest revision as of 14:41, 2 January 2020

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DLMF:9.9.E1
No description defined

    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
    Q11394
    Defining formula
    a k zero-Airy-Ai 𝑘 {\displaystyle{\displaystyle a_{\NVar{k}}}}
    xml-id
    C9.S9.SS1.p1.m5adec
    0 references
    Q11395
    Defining formula
    a k ′ zero-derivative-Airy-Ai 𝑘 {\displaystyle{\displaystyle a^{\prime}_{\NVar{k}}}}
    xml-id
    C9.S9.SS1.p1.m11adec
    0 references
    Q11385
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C9.S1.XMD1.m1dec
    0 references
     
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