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DLMF:19.26.E11 - MaRDI portal

DLMF:19.26.E11 (Q7260)

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DLMF:19.26.E11
No description defined

    Statements

    DLMF defining formula
    R C ⁡ ( x + λ , y + λ ) + R C ⁡ ( x + μ , y + μ ) = R C ⁡ ( x , y ) , Carlson-integral-RC 𝑥 𝜆 𝑦 𝜆 Carlson-integral-RC 𝑥 𝜇 𝑦 𝜇 Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(x+\lambda,y+\lambda\right)+R_{C}\left(% x+\mu,y+\mu\right)=R_{C}\left(x,y\right),}}
    0 references
    Symbols used
    Carlson’s combination of inverse circular and inverse hyperbolic functions
    DLMF defining formula
    R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}
    xml-id
    C19.S2.E17.m2aadec
    0 references
    positive
    DLMF defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C19.S26.XMD1.m1idec
    0 references
    positive
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1idec
    0 references
    positive
    DLMF defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1idec
    0 references
    parameter
    DLMF defining formula
    μ > 0 𝜇 0 {\displaystyle{\displaystyle\mu>0}}
    xml-id
    C19.S26.XMD5.m1idec
    0 references

    Identifiers

     
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