DLMF:19.26.E8 (Q6560)

From testwiki
Revision as of 13:11, 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:19.26.E8
No description defined

    Statements

    test
    2 ⁢ R G ⁡ ( x + λ , y + λ , z + λ ) + 2 ⁢ R G ⁡ ( x + μ , y + μ , z + μ ) = 2 ⁢ R G ⁡ ( x , y , z ) + λ ⁢ R F ⁡ ( x + λ , y + λ , z + λ ) + μ ⁢ R F ⁡ ( x + μ , y + μ , z + μ ) + λ + μ + x + y + z . 2 Carlson-integral-RG 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 2 Carlson-integral-RG 𝑥 𝜇 𝑦 𝜇 𝑧 𝜇 2 Carlson-integral-RG 𝑥 𝑦 𝑧 𝜆 Carlson-integral-RF 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 𝜇 Carlson-integral-RF 𝑥 𝜇 𝑦 𝜇 𝑧 𝜇 𝜆 𝜇 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle 2R_{G}\left(x+\lambda,y+\lambda,z+\lambda\right)+% 2R_{G}\left(x+\mu,y+\mu,z+\mu\right)=2R_{G}\left(x,y,z\right)+\lambda R_{F}% \left(x+\lambda,y+\lambda,z+\lambda\right)+\mu R_{F}\left(x+\mu,y+\mu,z+\mu% \right)+\sqrt{\lambda+\mu+x+y+z}.}}
    0 references
    DLMF id
    DLMF:19.26.E8
    0 references
    Symbols used
    symmetric elliptic integral of first kind
    test
    R F ⁡ ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E1.m2aadec
    0 references
    symmetric elliptic integral of second kind
    test
    R G ⁡ ( x , y , z ) Carlson-integral-RG 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E3.m2adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q6560&oldid=36834"