DLMF:19.25.E31 (Q6539)

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DLMF:19.25.E31
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    Statements

    Defining formula
    u = R F ⁡ ( p ⁣ s 2 ⁡ ( u , k ) , q ⁣ s 2 ⁡ ( u , k ) , r ⁣ s 2 ⁡ ( u , k ) ) ; 𝑢 Carlson-integral-RF abstract-Jacobi-elliptic p s 2 𝑢 𝑘 abstract-Jacobi-elliptic q s 2 𝑢 𝑘 abstract-Jacobi-elliptic r s 2 𝑢 𝑘 {\displaystyle{\displaystyle u=R_{F}\left({\operatorname{ps}^{2}}\left(u,k% \right),{\operatorname{qs}^{2}}\left(u,k\right),{\operatorname{rs}^{2}}\left(u% ,k\right)\right);}}
    0 references
    DLMF id
    DLMF:19.25.E31
    0 references
    Symbols used
    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.m2aidec
    0 references
     
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