DLMF:9.12.E9 (Q2937): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2acdec

Revision as of 13:52, 2 January 2020

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DLMF:9.12.E9
No description defined

    Statements

    test
    Hi ⁡ ( z ) , Ai ⁡ ( z ⁢ e - 2 ⁢ π ⁢ i / 3 ) , Ai ⁡ ( z ⁢ e 2 ⁢ π ⁢ i / 3 ) , Scorer-Hi 𝑧 Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 {\displaystyle{\displaystyle\mathrm{Hi}\left(z\right),\mathrm{Ai}\left(ze^{-2% \pi i/3}\right),\mathrm{Ai}\left(ze^{2\pi i/3}\right),}}
    0 references
    DLMF id
    DLMF:9.12.E9
    0 references
    constraint
    | ph ⁡ ( - z ) | ≤ 2 3 ⁢ π phase 𝑧 2 3 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\tfrac{2}{3}% \pi}}
    0 references
    Symbols used
    Q10919
    test
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1acdec
    0 references
    Scorer function (inhomogeneous Airy function)
    test
    Hi ⁡ ( z ) Scorer-Hi 𝑧 {\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}
    xml-id
    C9.S12.E5.m2aedec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
     
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