DLMF:9.7.E8 (Q2815)

From DRMF
Revision as of 14:32, 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:9.7.E8
No description defined

    Statements

    Defining formula
    Bi ′ ⁡ ( z ) ∼ z 1 / 4 ⁢ e ζ π ⁢ ∑ k = 0 ∞ v k ζ k , asymptotic-expansion diffop Airy-Bi 1 𝑧 superscript 𝑧 1 4 superscript 𝑒 𝜁 𝜋 superscript subscript 𝑘 0 subscript 𝑣 𝑘 superscript 𝜁 𝑘 {\displaystyle{\displaystyle\mathrm{Bi}'\left(z\right)\sim\frac{z^{1/4}e^{% \zeta}}{\sqrt{\pi}}\sum_{k=0}^{\infty}\frac{v_{k}}{\zeta^{k}},}}
    0 references
    DLMF id
    DLMF:9.7.E8
    0 references
    constraint
    | ph ⁡ z | ≤ 1 3 ⁢ π - δ phase 𝑧 1 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi-\delta}}
    0 references
    Symbols used
    Q11081
    Defining formula
    Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
    xml-id
    C9.S2.SS1.m2aadec
    0 references
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11acdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2815&oldid=48256"