DLMF:19.16.E6 (Q6321)

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DLMF:19.16.E6
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    Statements

    Defining formula
    R C ⁡ ( x , y ) = R F ⁡ ( x , y , y ) , Carlson-integral-RC 𝑥 𝑦 Carlson-integral-RF 𝑥 𝑦 𝑦 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=R_{F}\left(x,y,y\right),}}
    0 references
    DLMF id
    DLMF:19.16.E6
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    Symbols used
    Carlson’s combination of inverse circular and inverse hyperbolic functions
    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.m2adec
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    symmetric elliptic integral of first kind
    Defining formula
    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.m2aadec
    0 references
     
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