DLMF:14.9.E8 (Q4799)

From testwiki
Revision as of 00:36, 2 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:14.9.E8
No description defined

    Statements

    test
    1 2 ⁢ π ⁢ sin ⁡ ( ( ν - μ ) ⁢ π ) ⁢ 𝖯 ν - μ ⁡ ( x ) = - cos ⁡ ( ( ν - μ ) ⁢ π ) ⁢ 𝖰 ν - μ ⁡ ( x ) - 𝖰 ν - μ ⁡ ( - x ) , 1 2 𝜋 𝜈 𝜇 𝜋 Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 𝜈 𝜇 𝜋 Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\tfrac{1}{2}\pi\sin\left((\nu-\mu)\pi\right)% \mathsf{P}^{-\mu}_{\nu}\left(x\right)=-\cos\left((\nu-\mu)\pi\right)\mathsf{Q}% ^{-\mu}_{\nu}\left(x\right)-\mathsf{Q}^{-\mu}_{\nu}\left(-x\right),}}
    0 references
    DLMF id
    DLMF:14.9.E8
    0 references
    Symbols used
    Ferrers function of the first kind
    test
    𝖯 ν μ ⁡ ( x ) Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 {\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C14.S3.E1.m2afdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4799&oldid=26757"