DLMF:19.24.E2 (Q6483)

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DLMF:19.24.E2
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    Statements

    Defining formula
    1 2 ≤ z - 1 / 2 ⁢ R G ⁡ ( 0 , y , z ) ≤ 1 4 ⁢ π , 1 2 superscript 𝑧 1 2 Carlson-integral-RG 0 𝑦 𝑧 1 4 𝜋 {\displaystyle{\displaystyle\tfrac{1}{2}\leq z^{-1/2}R_{G}\left(0,y,z\right)% \leq\tfrac{1}{4}\pi,}}
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    DLMF id
    DLMF:19.24.E2
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    constraint
    0 ≤ y ≤ z 0 𝑦 𝑧 {\displaystyle{\displaystyle 0\leq y\leq z}}
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    Symbols used
    symmetric elliptic integral of second kind
    Defining formula
    R G ⁡ ( x , y , z ) Carlson-integral-RG 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E3.m2adec
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