DLMF:2.10.E35 (Q1022): 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.m2acdec

Revision as of 17:38, 1 January 2020

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DLMF:2.10.E35
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    g n = ( 2 π sin α ) 1 / 2 Γ ( n + 1 2 ) n ! cos ( n α + 1 2 α - 1 4 π ) , subscript 𝑔 𝑛 superscript 2 𝜋 𝛼 1 2 Euler-Gamma 𝑛 1 2 𝑛 𝑛 𝛼 1 2 𝛼 1 4 𝜋 {\displaystyle{\displaystyle g_{n}=\left(\frac{2}{\pi\sin\alpha}\right)^{1/2}% \frac{\Gamma\left(n+\frac{1}{2}\right)}{n!}\cos\left(n\alpha+\tfrac{1}{2}% \alpha-\tfrac{1}{4}\pi\right),}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2acdec
    0 references