DLMF:5.13.E1 (Q2158)

From testwiki
Revision as of 12:13, 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:5.13.E1
No description defined

    Statements

    test
    1 2 ⁢ π ⁢ i ⁢ ∫ c - i ⁢ ∞ c + i ⁢ ∞ Γ ⁡ ( s + a ) ⁢ Γ ⁡ ( b - s ) ⁢ z - s ⁢ d s = Γ ⁡ ( a + b ) ⁢ z a ( 1 + z ) a + b , 1 2 𝜋 𝑖 superscript subscript 𝑐 𝑖 𝑐 𝑖 Euler-Gamma 𝑠 𝑎 Euler-Gamma 𝑏 𝑠 superscript 𝑧 𝑠 𝑠 Euler-Gamma 𝑎 𝑏 superscript 𝑧 𝑎 superscript 1 𝑧 𝑎 𝑏 {\displaystyle{\displaystyle{\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}% \Gamma\left(s+a\right)\Gamma\left(b-s\right)z^{-s}\mathrm{d}s=\frac{\Gamma% \left(a+b\right)z^{a}}{(1+z)^{a+b}}},}}
    0 references
    DLMF id
    DLMF:5.13.E1
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q2158&oldid=10441"