DLMF:8.2.E7 (Q2487)

From DRMF
Revision as of 13:36, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:8.2.E7
No description defined

    Statements

    γ * ( a , z ) = 1 Γ ( a ) 0 1 t a - 1 e - z t d t , incomplete-gamma-star 𝑎 𝑧 1 Euler-Gamma 𝑎 superscript subscript 0 1 superscript 𝑡 𝑎 1 superscript 𝑒 𝑧 𝑡 𝑡 {\displaystyle{\displaystyle\gamma^{*}\left(a,z\right)=\frac{1}{\Gamma\left(a% \right)}\int_{0}^{1}t^{a-1}e^{-zt}\mathrm{d}t,}}
    0 references
    DLMF:8.2.E7
    0 references
    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
    0 references
    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2acdec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1abdec
    0 references