DLMF:9.12.E17 (Q2945): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Scorer function (inhomogeneous Airy function) / rank
 
Normal rank
Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
 
Defining formula:

Hi ⁡ ( z ) Scorer-Hi 𝑧 {\displaystyle{\displaystyle\mathrm{Hi}\left(\NVar{z}\right)}}

\ScorerHi@{\NVar{z}}
Property / Symbols used: Scorer function (inhomogeneous Airy function) / qualifier
 
xml-id: C9.S12.E5.m2akdec

Revision as of 14:54, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:9.12.E17
No description defined

    Statements

    Defining formula
    Hi ⁡ ( z ) = 3 - 2 / 3 π ⁢ ∑ k = 0 ∞ Γ ⁡ ( k + 1 3 ) ⁢ ( 3 1 / 3 ⁢ z ) k k ! , Scorer-Hi 𝑧 superscript 3 2 3 𝜋 superscript subscript 𝑘 0 Euler-Gamma 𝑘 1 3 superscript superscript 3 1 3 𝑧 𝑘 𝑘 {\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)=\frac{3^{-2/3}}{\pi}\sum% _{k=0}^{\infty}\Gamma\left(\frac{k+1}{3}\right)\frac{(3^{1/3}z)^{k}}{k!},}}
    0 references
    DLMF id
    DLMF:9.12.E17
    0 references
    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2addec
    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.m2akdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2945&oldid=52140"