DLMF:14.3.E19 (Q4708)

From testwiki
Revision as of 00:19, 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:14.3.E19
No description defined

    Statements

    test
    𝑸 ν μ ⁡ ( x ) = 2 ν ⁢ Γ ⁡ ( ν + 1 ) ⁢ ( x + 1 ) μ / 2 ( x - 1 ) ( μ / 2 ) + ν + 1 ⁢ 𝐅 ⁡ ( ν + 1 , ν + μ + 1 ; 2 ⁢ ν + 2 ; 2 1 - x ) , associated-Legendre-black-Q 𝜇 𝜈 𝑥 superscript 2 𝜈 Euler-Gamma 𝜈 1 superscript 𝑥 1 𝜇 2 superscript 𝑥 1 𝜇 2 𝜈 1 scaled-hypergeometric-bold-F 𝜈 1 𝜈 𝜇 1 2 𝜈 2 2 1 𝑥 {\displaystyle{\displaystyle\boldsymbol{Q}^{\mu}_{\nu}\left(x\right)=\frac{2^{% \nu}\Gamma\left(\nu+1\right)(x+1)^{\mu/2}}{(x-1)^{(\mu/2)+\nu+1}}\mathbf{F}% \left(\nu+1,\nu+\mu+1;2\nu+2;\frac{2}{1-x}\right),}}
    0 references
    DLMF id
    DLMF:14.3.E19
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2akdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4708&oldid=26129"