DLMF:19.26.E16 (Q6573)

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DLMF:19.26.E16
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    Statements

    test
    R F ⁡ ( λ , y + λ , z + λ ) = R F ⁡ ( 0 , y , z ) - R F ⁡ ( μ , y + μ , z + μ ) , Carlson-integral-RF 𝜆 𝑦 𝜆 𝑧 𝜆 Carlson-integral-RF 0 𝑦 𝑧 Carlson-integral-RF 𝜇 𝑦 𝜇 𝑧 𝜇 {\displaystyle{\displaystyle R_{F}\left(\lambda,y+\lambda,z+\lambda\right)={R_% {F}\left(0,y,z\right)-R_{F}\left(\mu,y+\mu,z+\mu\right),}}}
    0 references
    DLMF id
    DLMF:19.26.E16
    0 references
    constraint
    λ ⁢ μ = y ⁢ z 𝜆 𝜇 𝑦 𝑧 {\displaystyle{\displaystyle\lambda\mu=yz}}
    0 references
    Symbols used
    symmetric elliptic integral of first kind
    test
    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.m2abdec
    0 references
    Q11876
    test
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C19.S26.XMD1.m1kdec
    0 references
     
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