DLMF:5.6.E4 (Q2071): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
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.m2acdec

Revision as of 18:32, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:5.6.E4
No description defined

    Statements

    test
    x 1 - s < Γ ⁡ ( x + 1 ) Γ ⁡ ( x + s ) < ( x + 1 ) 1 - s , superscript 𝑥 1 𝑠 Euler-Gamma 𝑥 1 Euler-Gamma 𝑥 𝑠 superscript 𝑥 1 1 𝑠 {\displaystyle{\displaystyle x^{1-s}<\frac{\Gamma\left(x+1\right)}{\Gamma\left% (x+s\right)}<(x+1)^{1-s},}}
    0 references
    DLMF id
    DLMF:5.6.E4
    0 references
    constraint
    0 < s < 1 0 𝑠 1 {\displaystyle{\displaystyle 0<s<1}}
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2acdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q2071&oldid=9889"