DLMF:14.18.E9 (Q4910): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / constraint
 

μ ≥ 0 𝜇 0 {\displaystyle{\displaystyle\mu\geq 0}}

\mu\geq 0
Property / constraint: μ ≥ 0 𝜇 0 {\displaystyle{\displaystyle\mu\geq 0}} / rank
 
Normal rank

Revision as of 16:53, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:14.18.E9
No description defined

    Statements

    test
    𝖯 ν - μ ⁡ ( x ) = sin ⁡ ( ν ⁢ π ) π ⁢ ∑ n = 0 ∞ ( - 1 ) n ⁢ 2 ⁢ n + 1 ( ν - n ) ⁢ ( ν + n + 1 ) ⁢ 𝖯 n - μ ⁡ ( x ) , Ferrers-Legendre-P-first-kind 𝜇 𝜈 𝑥 𝜈 𝜋 𝜋 superscript subscript 𝑛 0 superscript 1 𝑛 2 𝑛 1 𝜈 𝑛 𝜈 𝑛 1 Ferrers-Legendre-P-first-kind 𝜇 𝑛 𝑥 {\displaystyle{\displaystyle\mathsf{P}^{-\mu}_{\nu}\left(x\right)=\frac{\sin% \left(\nu\pi\right)}{\pi}\sum_{n=0}^{\infty}(-1)^{n}\frac{2n+1}{(\nu-n)(\nu+n+% 1)}\mathsf{P}^{-\mu}_{n}\left(x\right),}}
    0 references
    DLMF id
    DLMF:14.18.E9
    0 references
    constraint
    ν ∉ ℤ 𝜈 {\displaystyle{\displaystyle\nu\notin\mathbb{Z}}}
    0 references
    μ ≥ 0 𝜇 0 {\displaystyle{\displaystyle\mu\geq 0}}
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4910&oldid=27662"