DLMF:33.12.E6 (Q9604)

From DRMF
Revision as of 00:55, 30 December 2019 by Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:33.12.E6
No description defined

    Statements

    F 0 ( η , 2 η ) 3 - 1 / 2 G 0 ( η , 2 η ) Γ ( 1 3 ) ω 1 / 2 2 π ( 1 2 35 Γ ( 2 3 ) Γ ( 1 3 ) 1 ω 4 - 8 2025 1 ω 6 5792 46 06875 Γ ( 2 3 ) Γ ( 1 3 ) 1 ω 10 - ) , asymptotic-expansion FRACOP regular-Coulomb-F 0 𝜂 2 𝜂 superscript 3 1 2 irregular-Coulomb-G 0 𝜂 2 𝜂 Euler-Gamma 1 3 superscript 𝜔 1 2 2 𝜋 minus-or-plus minus-or-plus 1 2 35 Euler-Gamma 2 3 Euler-Gamma 1 3 1 superscript 𝜔 4 8 2025 1 superscript 𝜔 6 5792 46 06875 Euler-Gamma 2 3 Euler-Gamma 1 3 1 superscript 𝜔 10 {\displaystyle{\displaystyle{F_{0}\left(\eta,2\eta\right)\atop{3^{-\ifrac{1}{2% }}G_{0}\left(\eta,2\eta\right)}}\sim\frac{\Gamma\left(\frac{1}{3}\right)\omega% ^{1/2}}{2\sqrt{\pi}}\left(1\mp\frac{2}{35}\frac{\Gamma\left(\frac{2}{3}\right)% }{\Gamma\left(\frac{1}{3}\right)}\frac{1}{\omega^{4}}-\frac{8}{2025}\frac{1}{% \omega^{6}}\mp\frac{5792}{46\,06875}\frac{\Gamma\left(\frac{2}{3}\right)}{% \Gamma\left(\frac{1}{3}\right)}\frac{1}{\omega^{10}}-\cdots\right),}}
    0 references
    DLMF:33.12.E6
    0 references