DLMF:2.6.E39 (Q865): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older edit
imported>Admin
imported>Admin
 
Property / Symbols used
 
Property / Symbols used: convolution (locally) / rank
Normal rank
 
Property / Symbols used: convolution (locally) / qualifier
test:

∗ ∗ {\displaystyle{\displaystyle\ast}}

\ast
 
Property / Symbols used: convolution (locally) / qualifier
xml-id: C2.S6.XMD17.m1edec
 

Latest revision as of 16:15, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.6.E39
No description defined

    Statements

    test
    t μ - 1 ∗ t - s - α = Γ ⁡ ( μ ) ⁢ Γ ⁡ ( 1 - s - α ) Γ ⁡ ( μ + 1 - s - α ) ⁢ t μ - s - α , ∗ superscript 𝑡 𝜇 1 superscript 𝑡 𝑠 𝛼 Euler-Gamma 𝜇 Euler-Gamma 1 𝑠 𝛼 Euler-Gamma 𝜇 1 𝑠 𝛼 superscript 𝑡 𝜇 𝑠 𝛼 {\displaystyle{\displaystyle t^{\mu-1}\ast t^{-s-\alpha}=\frac{\Gamma\left(\mu% \right)\Gamma\left(1-s-\alpha\right)}{\Gamma\left(\mu+1-s-\alpha\right)}t^{\mu% -s-\alpha},}}
    0 references
    DLMF id
    DLMF:2.6.E39
    0 references
    constraint
    t > 0 𝑡 0 {\displaystyle{\displaystyle t>0}}
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2addec
    0 references
    Q11028
    test
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C2.S6.XMD14.m1ddec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q865&oldid=4826"