DLMF:9.12.E4 (Q2932): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11381 / rank
 
Normal rank
Property / Symbols used: Q11381 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11381 / qualifier
 
xml-id: C9.S1.XMD3.m1cdec

Latest revision as of 14:52, 2 January 2020

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DLMF:9.12.E4
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    Statements

    Defining formula
    Gi ⁡ ( z ) = Bi ⁡ ( z ) ⁢ ∫ z ∞ Ai ⁡ ( t ) ⁢ d t + Ai ⁡ ( z ) ⁢ ∫ 0 z Bi ⁡ ( t ) ⁢ d t , Scorer-Gi 𝑧 Airy-Bi 𝑧 superscript subscript 𝑧 Airy-Ai 𝑡 𝑡 Airy-Ai 𝑧 superscript subscript 0 𝑧 Airy-Bi 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Gi}\left(z\right)=\mathrm{Bi}\left(z\right% )\int_{z}^{\infty}\mathrm{Ai}\left(t\right)\mathrm{d}t+\mathrm{Ai}\left(z% \right)\int_{0}^{z}\mathrm{Bi}\left(t\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:9.12.E4
    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.m1adec
    0 references
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1cdec
    0 references
     
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