DLMF:14.9.E15 (Q4807): 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.m2ahdec

Revision as of 00:38, 2 January 2020

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DLMF:14.9.E15
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    2 sin ( μ π ) π 𝑸 ν μ ( x ) = P ν μ ( x ) Γ ( ν + μ + 1 ) - P ν - μ ( x ) Γ ( ν - μ + 1 ) . 2 𝜇 𝜋 𝜋 associated-Legendre-black-Q 𝜇 𝜈 𝑥 Legendre-P-first-kind 𝜇 𝜈 𝑥 Euler-Gamma 𝜈 𝜇 1 Legendre-P-first-kind 𝜇 𝜈 𝑥 Euler-Gamma 𝜈 𝜇 1 {\displaystyle{\displaystyle\frac{2\sin\left(\mu\pi\right)}{\pi}\boldsymbol{Q}% ^{\mu}_{\nu}\left(x\right)=\frac{P^{\mu}_{\nu}\left(x\right)}{\Gamma\left(\nu+% \mu+1\right)}-\frac{P^{-\mu}_{\nu}\left(x\right)}{\Gamma\left(\nu-\mu+1\right)% }.}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2ahdec
    0 references