DLMF:8.7.E6 (Q2532): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q11324 / rank
 
Normal rank
Property / Symbols used: Q11324 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11324 / qualifier
 
xml-id: C8.S1.XMD3.m1edec

Revision as of 12:46, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:8.7.E6
No description defined

    Statements

    test
    Γ ⁡ ( a , x ) = x a ⁢ e - x ⁢ ∑ n = 0 ∞ L n ( a ) ⁡ ( x ) n + 1 , incomplete-Gamma 𝑎 𝑥 superscript 𝑥 𝑎 superscript 𝑒 𝑥 superscript subscript 𝑛 0 Laguerre-polynomial-L 𝑎 𝑛 𝑥 𝑛 1 {\displaystyle{\displaystyle\Gamma\left(a,x\right)=x^{a}e^{-x}\sum_{n=0}^{% \infty}\frac{L^{(a)}_{n}\left(x\right)}{n+1},}}
    0 references
    DLMF id
    DLMF:8.7.E6
    0 references
    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
    0 references
    Symbols used
    Q11333
    test
    L n ( α ) ⁡ ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}
    xml-id
    C18.S3.T1.t1.r12.m2adec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aedec
    0 references
    incomplete gamma function
    test
    Γ ⁡ ( a , z ) incomplete-Gamma 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E2.m2abdec
    0 references
    Q11332
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1bdec
    0 references
    Q11324
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1edec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q2532&oldid=12746"