DLMF:18.19.E4 (Q5834): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
Defining formula:

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.m2abdec

Revision as of 01:29, 2 January 2020

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DLMF:18.19.E4
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    h n = 2 π Γ ( n + a + a ¯ ) Γ ( n + b + b ¯ ) | Γ ( n + a + b ¯ ) | 2 ( 2 n + 2 ( a + b ) - 1 ) Γ ( n + 2 ( a + b ) - 1 ) n ! , subscript 𝑛 2 𝜋 Euler-Gamma 𝑛 𝑎 𝑎 Euler-Gamma 𝑛 𝑏 𝑏 superscript Euler-Gamma 𝑛 𝑎 𝑏 2 2 𝑛 2 𝑎 𝑏 1 Euler-Gamma 𝑛 2 𝑎 𝑏 1 𝑛 {\displaystyle{\displaystyle h_{n}=\frac{2\pi\Gamma\left(n+a+\overline{a}% \right)\Gamma\left(n+b+\overline{b}\right)|\Gamma\left(n+a+\overline{b}\right)% |^{2}}{\left(2n+2\Re(a+b)-1\right)\Gamma\left(n+2\Re(a+b)-1\right)n!},}}
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    DLMF:18.19.E4
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2abdec
    0 references