DLMF:14.5.E1 (Q4713): 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.m2adec

Revision as of 01:20, 2 January 2020

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DLMF:14.5.E1
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    𝖯 ν μ ( 0 ) = 2 μ π 1 / 2 Γ ( 1 2 ν - 1 2 μ + 1 ) Γ ( 1 2 - 1 2 ν - 1 2 μ ) , Ferrers-Legendre-P-first-kind 𝜇 𝜈 0 superscript 2 𝜇 superscript 𝜋 1 2 Euler-Gamma 1 2 𝜈 1 2 𝜇 1 Euler-Gamma 1 2 1 2 𝜈 1 2 𝜇 {\displaystyle{\displaystyle\mathsf{P}^{\mu}_{\nu}\left(0\right)=\frac{2^{\mu}% \pi^{1/2}}{\Gamma\left(\frac{1}{2}\nu-\frac{1}{2}\mu+1\right)\Gamma\left(\frac% {1}{2}-\frac{1}{2}\nu-\frac{1}{2}\mu\right)},}}
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    DLMF:14.5.E1
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2adec
    0 references