DLMF:18.25.E7 (Q5922): 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: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11743 / rank
 
Normal rank
Property / Symbols used: Q11743 / qualifier
 
test:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q11743 / qualifier
 
xml-id: C18.S1.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11729 / rank
 
Normal rank
Property / Symbols used: Q11729 / qualifier
 
test:

w ( x ) 𝑤 𝑥 {\displaystyle{\displaystyle w(x)}}

w(x)
Property / Symbols used: Q11729 / qualifier
 
xml-id: C18.S1.XMD10.m1bdec

Latest revision as of 00:41, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.25.E7
No description defined

    Statements

    w ( y 2 ) = 1 2 y | j Γ ( a j + i y ) Γ ( 2 i y ) | 2 , 𝑤 superscript 𝑦 2 1 2 𝑦 superscript subscript product 𝑗 Euler-Gamma subscript 𝑎 𝑗 𝑖 𝑦 Euler-Gamma 2 𝑖 𝑦 2 {\displaystyle{\displaystyle w(y^{2})=\frac{1}{2y}\left|\frac{\prod_{j}\Gamma% \left(a_{j}+iy\right)}{\Gamma\left(2iy\right)}\right|^{2},}}
    0 references
    0 references
    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2abdec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aadec
    0 references
    y 𝑦 {\displaystyle{\displaystyle y}}
    C18.S1.XMD1.m1bdec
    0 references
    w ( x ) 𝑤 𝑥 {\displaystyle{\displaystyle w(x)}}
    C18.S1.XMD10.m1bdec
    0 references