DLMF:19.26.E25 (Q6585)

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DLMF:19.26.E25
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    Statements

    test
    R C ⁡ ( x , y ) = 2 ⁢ R C ⁡ ( x + λ , y + λ ) , Carlson-integral-RC 𝑥 𝑦 2 Carlson-integral-RC 𝑥 𝜆 𝑦 𝜆 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=2R_{C}\left(x+\lambda,y+% \lambda\right),}}
    0 references
    DLMF id
    DLMF:19.26.E25
    0 references
    constraint
    λ = y + 2 ⁢ x ⁢ y 𝜆 𝑦 2 𝑥 𝑦 {\displaystyle{\displaystyle\lambda=y+2\sqrt{x}\sqrt{y}}}
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    Symbols used
    Carlson’s combination of inverse circular and inverse hyperbolic functions
    test
    R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}
    xml-id
    C19.S2.E17.m2afdec
    0 references
    Q11876
    test
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C19.S26.XMD1.m1sdec
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    Q11877
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1tdec
    0 references
    Q11878
    test
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1udec
    0 references
     
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