DLMF:19.16.E14 (Q6332)

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DLMF:19.16.E14
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    Statements

    Defining formula
    R F ⁡ ( x , y , z ) = R - 1 2 ⁡ ( 1 2 , 1 2 , 1 2 ; x , y , z ) , Carlson-integral-RF 𝑥 𝑦 𝑧 Carlson-integral-R 1 2 1 2 1 2 1 2 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(x,y,z\right)=R_{-\frac{1}{2}}\left(% \tfrac{1}{2},\tfrac{1}{2},\tfrac{1}{2};x,y,z\right),}}
    0 references
    DLMF id
    DLMF:19.16.E14
    0 references
    Symbols used
    multivariate hypergeometric function
    Defining formula
    R - a ⁡ ( b 1 , … , b n ; z 1 , … , z n ) Carlson-integral-R 𝑎 subscript 𝑏 1 … subscript 𝑏 𝑛 subscript 𝑧 1 … subscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}
    xml-id
    C19.S16.E9.m2addec
    0 references
    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.m2abdec
    0 references
     
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