DLMF:5.2.E5 (Q2031): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10759 / rank
 
Normal rank
Property / Symbols used: Q10759 / qualifier
 
test:

( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

\Pochhammersym{\NVar{a}}{\NVar{n}}
Property / Symbols used: Q10759 / qualifier
 
xml-id: C5.S2.SS3.m1aadec
Property / Symbols used
 
Property / Symbols used: Q11274 / rank
 
Normal rank
Property / Symbols used: Q11274 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11274 / qualifier
 
xml-id: C5.S1.XMD3.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11275 / rank
 
Normal rank
Property / Symbols used: Q11275 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11275 / qualifier
 
xml-id: C5.S1.XMD8.m1adec

Latest revision as of 18:28, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:5.2.E5
No description defined

    Statements

    ( a ) n = Γ ( a + n ) / Γ ( a ) , Pochhammer 𝑎 𝑛 Euler-Gamma 𝑎 𝑛 Euler-Gamma 𝑎 {\displaystyle{\displaystyle{\left(a\right)_{n}}=\Gamma\left(a+n\right)/\Gamma% \left(a\right),}}
    0 references
    0 references
    a 0 , - 1 , - 2 , 𝑎 0 1 2 {\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}
    0 references
    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2abdec
    0 references
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    C5.S2.SS3.m1aadec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C5.S1.XMD3.m1bdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C5.S1.XMD8.m1adec
    0 references