DLMF:2.5.E12 (Q788): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
test:

Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2aadec

Revision as of 17:03, 1 January 2020

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DLMF:2.5.E12
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    a n = 2 n - 1 Γ ( ν + 1 2 n ) Γ 2 ( 1 - 1 2 n ) Γ ( 1 + ν - 1 2 n ) Γ ( n ) , subscript 𝑎 𝑛 superscript 2 𝑛 1 Euler-Gamma 𝜈 1 2 𝑛 Euler-Gamma 2 1 1 2 𝑛 Euler-Gamma 1 𝜈 1 2 𝑛 Euler-Gamma 𝑛 {\displaystyle{\displaystyle a_{n}=\frac{2^{n-1}\Gamma\left(\nu+\tfrac{1}{2}n% \right)}{{\Gamma^{2}}\left(1-\tfrac{1}{2}n\right)\Gamma\left(1+\nu-\tfrac{1}{2% }n\right)\Gamma\left(n\right)},}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2aadec
    0 references