DLMF:19.26.E22 (Q6579)

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DLMF:19.26.E22
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    Statements

    test
    R J ⁡ ( x , y , z , p ) = 2 ⁢ R J ⁡ ( x + λ , y + λ , z + λ , p + λ ) + 3 ⁢ R C ⁡ ( α 2 , β 2 ) , Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑝 2 Carlson-integral-RJ 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 𝑝 𝜆 3 Carlson-integral-RC superscript 𝛼 2 superscript 𝛽 2 {\displaystyle{\displaystyle R_{J}\left(x,y,z,p\right)=2R_{J}\left(x+\lambda,y% +\lambda,z+\lambda,p+\lambda\right)+3R_{C}\left(\alpha^{2},\beta^{2}\right),}}
    0 references
    DLMF id
    DLMF:19.26.E22
    0 references
    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.m2aedec
    0 references
     
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