DLMF:8.8.E9 (Q2541)

From testwiki
Revision as of 12:26, 29 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(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:8.8.E9
No description defined

    Statements

    test
    Γ ⁡ ( a + n , z ) = ( a ) n ⁢ Γ ⁡ ( a , z ) + z a ⁢ e - z ⁢ ∑ k = 0 n - 1 Γ ⁡ ( a + n ) Γ ⁡ ( a + k + 1 ) ⁢ z k , incomplete-Gamma 𝑎 𝑛 𝑧 Pochhammer 𝑎 𝑛 incomplete-Gamma 𝑎 𝑧 superscript 𝑧 𝑎 superscript 𝑒 𝑧 superscript subscript 𝑘 0 𝑛 1 Euler-Gamma 𝑎 𝑛 Euler-Gamma 𝑎 𝑘 1 superscript 𝑧 𝑘 {\displaystyle{\displaystyle\Gamma\left(a+n,z\right)={\left(a\right)_{n}}% \Gamma\left(a,z\right)+z^{a}e^{-z}\sum_{k=0}^{n-1}\frac{\Gamma\left(a+n\right)% }{\Gamma\left(a+k+1\right)}z^{k},}}
    0 references
    DLMF id
    DLMF:8.8.E9
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q2541&oldid=12797"