DLMF:18.18.E5 (Q5795): 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.m2aadec

Revision as of 01:22, 2 January 2020

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DLMF:18.18.E5
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    b n = n ! Γ ( n + α + 1 ) 0 f ( x ) L n ( α ) ( x ) e - x x α d x . subscript 𝑏 𝑛 𝑛 Euler-Gamma 𝑛 𝛼 1 superscript subscript 0 𝑓 𝑥 Laguerre-polynomial-L 𝛼 𝑛 𝑥 superscript 𝑒 𝑥 superscript 𝑥 𝛼 𝑥 {\displaystyle{\displaystyle b_{n}=\frac{n!}{\Gamma\left(n+\alpha+1\right)}% \int_{0}^{\infty}f(x)L^{(\alpha)}_{n}\left(x\right)e^{-x}x^{\alpha}\mathrm{d}x% .}}
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    DLMF:18.18.E5
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2aadec
    0 references