DLMF:9.13.E26 (Q2990): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: exponential function / rank
 
Normal rank
Property / Symbols used: exponential function / qualifier
 
test:

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2aadec

Revision as of 14:03, 2 January 2020

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DLMF:9.13.E26
No description defined

    Statements

    test
    B 0 ⁡ ( z , p ) = 1 2 ⁢ π ⁢ i ⁢ ∫ ℒ 0 t - p ⁢ exp ⁡ ( z ⁢ t - 1 3 ⁢ t 3 ) ⁢ d t , Integral-generalized-Airy-B 0 𝑧 𝑝 1 2 𝜋 𝑖 subscript subscript ℒ 0 superscript 𝑡 𝑝 𝑧 𝑡 1 3 superscript 𝑡 3 𝑡 {\displaystyle{\displaystyle B_{0}\left(z,p\right)=\frac{1}{2\pi i}\int_{% \mathscr{L}_{0}}t^{-p}\exp\left(zt-\tfrac{1}{3}t^{3}\right)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:9.13.E26
    0 references
    constraint
    p = 0 , ± 1 , ± 2 , … 𝑝 0 plus-or-minus 1 plus-or-minus 2 … {\displaystyle{\displaystyle p=0,\pm 1,\pm 2,\ldots}}
    0 references
    Symbols used
    Q11424
    test
    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.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    exponential function
    test
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2aadec
    0 references
     
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