DLMF:9.12.E5 (Q2933)

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DLMF:9.12.E5
No description defined

    Statements

    Defining formula
    Hi ⁡ ( z ) = Bi ⁡ ( z ) ⁢ ∫ - ∞ z Ai ⁡ ( t ) ⁢ d t - Ai ⁡ ( z ) ⁢ ∫ - ∞ z Bi ⁡ ( t ) ⁢ d t . Scorer-Hi 𝑧 Airy-Bi 𝑧 superscript subscript 𝑧 Airy-Ai 𝑡 𝑡 Airy-Ai 𝑧 superscript subscript 𝑧 Airy-Bi 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)=\mathrm{Bi}\left(z\right% )\int_{-\infty}^{z}\mathrm{Ai}\left(t\right)\mathrm{d}t-\mathrm{Ai}\left(z% \right)\int_{-\infty}^{z}\mathrm{Bi}\left(t\right)\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:9.12.E5
    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.m1aadec
    0 references
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2aadec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1ddec
    0 references
     
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