DLMF:14.2.E3 (Q4681): Difference between revisions

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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.m2adec

Revision as of 00:10, 2 January 2020

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DLMF:14.2.E3
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    𝒲 { 𝖯 ν - μ ( x ) , 𝖯 ν - μ ( - x ) } = 2 Γ ( μ - ν ) Γ ( ν + μ + 1 ) ( 1 - x 2 ) , Wronskian Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 2 Euler-Gamma 𝜇 𝜈 Euler-Gamma 𝜈 𝜇 1 1 superscript 𝑥 2 {\displaystyle{\displaystyle\mathscr{W}\left\{\mathsf{P}^{-\mu}_{\nu}\left(x% \right),\mathsf{P}^{-\mu}_{\nu}\left(-x\right)\right\}=\frac{2}{\Gamma\left(% \mu-\nu\right)\Gamma\left(\nu+\mu+1\right)\left(1-x^{2}\right)},}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2adec
    0 references