DLMF:19.26.E18 (Q6575)

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DLMF:19.26.E18
No description defined

    Statements

    Defining formula
    R F ⁡ ( x , y , z ) = 2 ⁢ R F ⁡ ( x + λ , y + λ , z + λ ) = R F ⁡ ( x + λ 4 , y + λ 4 , z + λ 4 ) , Carlson-integral-RF 𝑥 𝑦 𝑧 2 Carlson-integral-RF 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 Carlson-integral-RF 𝑥 𝜆 4 𝑦 𝜆 4 𝑧 𝜆 4 {\displaystyle{\displaystyle R_{F}\left(x,y,z\right)=2R_{F}\left(x+\lambda,y+% \lambda,z+\lambda\right)=R_{F}\left(\frac{x+\lambda}{4},\frac{y+\lambda}{4},% \frac{z+\lambda}{4}\right),}}
    0 references
    DLMF id
    DLMF:19.26.E18
    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.m2acdec
    0 references
    Q11876
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C19.S26.XMD1.m1ldec
    0 references
    Q11877
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1mdec
    0 references
    Q11878
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1ndec
    0 references
    Q11879
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C19.S26.XMD4.m1kdec
    0 references
     
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