DLMF:9.12.E14 (Q2942)

From DRMF
Revision as of 14:53, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:9.12.E14
No description defined

    Statements

    Defining formula
    Hi ⁡ ( z ) = e ± 2 ⁢ π ⁢ i / 3 ⁢ Hi ⁡ ( z ⁢ e ± 2 ⁢ π ⁢ i / 3 ) + 2 ⁢ e ∓ π ⁢ i / 6 ⁢ Ai ⁡ ( z ⁢ e ∓ 2 ⁢ π ⁢ i / 3 ) . Scorer-Hi 𝑧 superscript 𝑒 plus-or-minus 2 𝜋 𝑖 3 Scorer-Hi 𝑧 superscript 𝑒 plus-or-minus 2 𝜋 𝑖 3 2 superscript 𝑒 minus-or-plus 𝜋 𝑖 6 Airy-Ai 𝑧 superscript 𝑒 minus-or-plus 2 𝜋 𝑖 3 {\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)=e^{\pm 2\pi i/3}\mathrm{% Hi}\left(ze^{\pm 2\pi i/3}\right)+2e^{\mp\pi i/6}\mathrm{Ai}\left(ze^{\mp 2\pi i% /3}\right).}}
    0 references
    DLMF id
    DLMF:9.12.E14
    0 references
    Symbols used
    Q10919
    Defining formula
    Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m1afdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2942&oldid=52012"