DLMF:11.11.E17 (Q4083): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11511 / rank
 
Normal rank
Property / Symbols used: Q11511 / qualifier
 
Defining formula:

a k ⁢ ( λ ) subscript 𝑎 𝑘 𝜆 {\displaystyle{\displaystyle a_{k}(\lambda)}}

a_{k}(\lambda)
Property / Symbols used: Q11511 / qualifier
 
xml-id: C11.S11.XMD4.m1cdec

Latest revision as of 15:03, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:11.11.E17
No description defined

    Statements

    Defining formula
    𝐀 - ν ⁡ ( ν + a ⁢ ν 1 / 3 ) = 2 1 / 3 ⁢ ν - 1 / 3 ⁢ Hi ⁡ ( - 2 1 / 3 ⁢ a ) + O ⁡ ( ν - 1 ) , associated-Anger-Weber-A 𝜈 𝜈 𝑎 superscript 𝜈 1 3 superscript 2 1 3 superscript 𝜈 1 3 Scorer-Hi superscript 2 1 3 𝑎 Big-O superscript 𝜈 1 {\displaystyle{\displaystyle\mathbf{A}_{-\nu}\left(\nu+a\nu^{1/3}\right)=2^{1/% 3}\nu^{-1/3}\mathrm{Hi}\left(-2^{1/3}a\right)+O\left(\nu^{-1}\right),}}
    0 references
    DLMF id
    DLMF:11.11.E17
    0 references
    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2abdec
    0 references
    Scorer function (inhomogeneous Airy function)
    Defining formula
    Hi ⁡ ( z ) Scorer-Hi 𝑧 {\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}
    xml-id
    C9.S12.E5.m2adec
    0 references
    Anger–Weber function
    Defining formula
    𝐀 ν ⁡ ( z ) associated-Anger-Weber-A 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{A}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E4.m2agdec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1ldec
    0 references
    Q11511
    Defining formula
    a k ⁢ ( λ ) subscript 𝑎 𝑘 𝜆 {\displaystyle{\displaystyle a_{k}(\lambda)}}
    xml-id
    C11.S11.XMD4.m1cdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4083&oldid=53710"