DLMF:19.26.E20 (Q6577)

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DLMF:19.26.E20
No description defined

    Statements

    Defining formula
    R D ⁡ ( x , y , z ) = 2 ⁢ R D ⁡ ( x + λ , y + λ , z + λ ) + 3 z ⁢ ( z + λ ) . Carlson-integral-RD 𝑥 𝑦 𝑧 2 Carlson-integral-RD 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 3 𝑧 𝑧 𝜆 {\displaystyle{\displaystyle R_{D}\left(x,y,z\right)=2R_{D}\left(x+\lambda,y+% \lambda,z+\lambda\right)+\frac{3}{\sqrt{z}(z+\lambda)}.}}
    0 references
    DLMF id
    DLMF:19.26.E20
    0 references
    Symbols used
    elliptic integral symmetric in only two variables
    Defining formula
    R D ⁡ ( x , y , z ) Carlson-integral-RD 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E5.m2aadec
    0 references
    Q11876
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C19.S26.XMD1.m1ndec
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    Q11877
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1odec
    0 references
    Q11878
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1pdec
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    Q11879
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C19.S26.XMD4.m1mdec
    0 references
     
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