DLMF:9.12.E10 (Q2938): Difference between revisions

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Property / constraint
 

- π ± ph z 1 3 π 𝜋 plus-or-minus phase 𝑧 1 3 𝜋 {\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{3}\pi}}

-\pi\leq\pm\phase@@{z}\leq\tfrac{1}{3}\pi
Property / constraint: - π ± ph z 1 3 π 𝜋 plus-or-minus phase 𝑧 1 3 𝜋 {\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{3}\pi}} / rank
 
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Revision as of 16:14, 30 December 2019

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DLMF:9.12.E10
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    Statements

    e 2 π i / 3 Hi ( z e 2 π i / 3 ) , Ai ( z ) , Ai ( z e ± 2 π i / 3 ) , superscript 𝑒 minus-or-plus 2 𝜋 𝑖 3 Scorer-Hi 𝑧 superscript 𝑒 minus-or-plus 2 𝜋 𝑖 3 Airy-Ai 𝑧 Airy-Ai 𝑧 superscript 𝑒 plus-or-minus 2 𝜋 𝑖 3 {\displaystyle{\displaystyle e^{\mp 2\pi i/3}\mathrm{Hi}\left(ze^{\mp 2\pi i/3% }\right),\mathrm{Ai}\left(z\right),\mathrm{Ai}\left(ze^{\pm 2\pi i/3}\right),}}
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    - π ± ph z 1 3 π 𝜋 plus-or-minus phase 𝑧 1 3 𝜋 {\displaystyle{\displaystyle-\pi\leq\pm\operatorname{ph}z\leq\tfrac{1}{3}\pi}}
    0 references