DLMF:9.13.E37 (Q3004)

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DLMF:9.13.E37
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    Statements

    Defining formula
    B 1 ⁡ ( z , p ) - B 2 ⁡ ( z , p ) = 2 ⁢ π ⁢ i ⁢ A 3 ⁡ ( z , p ) . Integral-generalized-Airy-B 1 𝑧 𝑝 Integral-generalized-Airy-B 2 𝑧 𝑝 2 𝜋 𝑖 Integral-generalized-Airy-A 3 𝑧 𝑝 {\displaystyle{\displaystyle B_{1}\left(z,p\right)-B_{2}\left(z,p\right)=2\pi iA% _{3}\left(z,p\right).}}
    0 references
    DLMF id
    DLMF:9.13.E37
    0 references
    Symbols used
    Q11422
    Defining formula
    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.m1agdec
    0 references
    Q11424
    Defining formula
    B k ⁡ ( z , p ) Integral-generalized-Airy-B 𝑘 𝑧 𝑝 {\displaystyle{\displaystyle B_{\NVar{k}}\left(\NVar{z},\NVar{p}\right)}}
    xml-id
    C9.S13.SS2.p1.m2afdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ardec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2agdec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1zdec
    0 references
    parameter (locally)
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C9.S13.XMD14.m1idec
    0 references
     
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