DLMF:19.23.E1 (Q6472)

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DLMF:19.23.E1
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    Statements

    test
    R F ⁡ ( 0 , y , z ) = ∫ 0 π / 2 ( y ⁢ cos 2 ⁡ θ + z ⁢ sin 2 ⁡ θ ) - 1 / 2 ⁢ d θ , Carlson-integral-RF 0 𝑦 𝑧 superscript subscript 0 𝜋 2 superscript 𝑦 2 𝜃 𝑧 2 𝜃 1 2 𝜃 {\displaystyle{\displaystyle R_{F}\left(0,y,z\right)=\int_{0}^{\pi/2}(y{\cos^{% 2}}\theta+z{\sin^{2}}\theta)^{-1/2}\mathrm{d}\theta,}}
    0 references
    DLMF id
    DLMF:19.23.E1
    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.m2adec
    0 references
     
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