DLMF:9.9.E2 (Q2860)

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DLMF:9.9.E2
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    Statements

    Defining formula
    θ ⁡ ( b k ) = ϕ ⁡ ( b k ′ ) = ( k - 1 2 ) ⁢ π . phase-Airy-Theta zero-Airy-Bi 𝑘 phase-Airy-Phi zero-derivative-Airy-Bi 𝑘 𝑘 1 2 𝜋 {\displaystyle{\displaystyle\theta\left(b_{k}\right)=\phi\left(b^{\prime}_{k}% \right)=(k-\tfrac{1}{2})\pi.}}
    0 references
    DLMF id
    DLMF:9.9.E2
    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.m2aadec
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    Airy phase function
    Defining formula
    ϕ ⁡ ( z ) phase-Airy-Phi 𝑧 {\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}
    xml-id
    C9.S8.E8.m2aadec
    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.m2aadec
    0 references
    Q11396
    Defining formula
    b k zero-Airy-Bi 𝑘 {\displaystyle{\displaystyle b_{\NVar{k}}}}
    xml-id
    C9.S9.SS1.p1.m8adec
    0 references
    Q11397
    Defining formula
    b k ′ zero-derivative-Airy-Bi 𝑘 {\displaystyle{\displaystyle b^{\prime}_{\NVar{k}}}}
    xml-id
    C9.S9.SS1.p1.m14adec
    0 references
    Q11385
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C9.S1.XMD1.m1adec
    0 references
     
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