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

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Property / constraint
 

p = 0 , ± 1 , ± 2 , 𝑝 0 plus-or-minus 1 plus-or-minus 2 {\displaystyle{\displaystyle p=0,\pm 1,\pm 2,\ldots}}

p=0,\pm 1,\pm 2,\ldots
Property / constraint: p = 0 , ± 1 , ± 2 , 𝑝 0 plus-or-minus 1 plus-or-minus 2 {\displaystyle{\displaystyle p=0,\pm 1,\pm 2,\ldots}} / rank
 
Normal rank

Revision as of 16:15, 30 December 2019

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DLMF:9.13.E26
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    Statements

    B 0 ( z , p ) = 1 2 π i 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 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,}}
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    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