DLMF:19.26.E1 (Q6552)

From DRMF
Revision as of 14:11, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(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:19.26.E1
No description defined

    Statements

    Defining formula
    R F ⁡ ( x + λ , y + λ , z + λ ) + R F ⁡ ( x + μ , y + μ , z + μ ) = R F ⁡ ( x , y , z ) , Carlson-integral-RF 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 Carlson-integral-RF 𝑥 𝜇 𝑦 𝜇 𝑧 𝜇 Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(x+\lambda,y+\lambda,z+\lambda\right)+R% _{F}\left(x+\mu,y+\mu,z+\mu\right)=R_{F}\left(x,y,z\right),}}
    0 references
    DLMF id
    DLMF:19.26.E1
    0 references
    Symbols used
    symmetric elliptic integral of first kind
    Defining formula
    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.m2adec
    0 references
    Q11876
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C19.S26.XMD1.m1dec
    0 references
    Q11877
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1dec
    0 references
    Q11878
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1dec
    0 references
    Q11879
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C19.S26.XMD4.m1dec
    0 references
    Q11880
    Defining formula
    μ > 0 𝜇 0 {\displaystyle{\displaystyle\mu>0}}
    xml-id
    C19.S26.XMD5.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6552&oldid=44333"