DLMF:14.9.E15 (Q4807)

From testwiki
Revision as of 14:38, 29 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:14.9.E15
No description defined

    Statements

    test
    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)% }.}}
    0 references
    DLMF id
    DLMF:14.9.E15
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4807&oldid=26806"