DLMF:9.13.E25 (Q2989)

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DLMF:9.13.E25
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    Statements

    test
    A k ⁡ ( z , p ) = 1 2 ⁢ π ⁢ i ⁢ ∫ ℒ k t - p ⁢ exp ⁡ ( z ⁢ t - 1 3 ⁢ t 3 ) ⁢ d t , Integral-generalized-Airy-A 𝑘 𝑧 𝑝 1 2 𝜋 𝑖 subscript subscript ℒ 𝑘 superscript 𝑡 𝑝 𝑧 𝑡 1 3 superscript 𝑡 3 𝑡 {\displaystyle{\displaystyle A_{k}\left(z,p\right)=\frac{1}{2\pi i}\int_{% \mathscr{L}_{k}}t^{-p}\exp\left(zt-\tfrac{1}{3}t^{3}\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:9.13.E25
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    constraint
    p ∈ ℂ 𝑝 {\displaystyle{\displaystyle p\in\mathbb{C}}}
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    k = 1 , 2 , 3 𝑘 1 2 3 {\displaystyle{\displaystyle k=1,2,3}}
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    p ∈ ℂ 𝑝 ℂ {\displaystyle{\displaystyle p\in\mathbb{C}}}
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    Symbols used
    Q11422
    test
    A k ⁡ ( z , p ) Integral-generalized-Airy-A 𝑘 𝑧 𝑝 {\displaystyle{\displaystyle A_{\NVar{k}}\left(\NVar{z},\NVar{p}\right)}}
    xml-id
    C9.S13.SS2.p1.m1adec
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    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2akdec
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    Q10923
    test
    ℂ {\displaystyle{\displaystyle\mathbb{C}}}
    xml-id
    introduction.Sx4.p1.t1.r1.m2adec
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