DLMF:2.5.E14 (Q790): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
test:

Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2abdec

Revision as of 16:03, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.5.E14
No description defined

    Statements

    | Γ ( x + i y ) | = 2 π e - π | y | / 2 | y | x - ( 1 / 2 ) ( 1 + o ( 1 ) ) , Euler-Gamma 𝑥 𝑖 𝑦 2 𝜋 superscript 𝑒 𝜋 𝑦 2 superscript 𝑦 𝑥 1 2 1 little-o 1 {\displaystyle{\displaystyle|\Gamma\left(x+iy\right)|=\sqrt{2\pi}e^{-\pi|y|/2}% |y|^{x-(1/2)}\left(1+o\left(1\right)\right),}}
    0 references
    0 references
    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2abdec
    0 references