DLMF:19.26.E21 (Q6578): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: symmetric elliptic integral of second kind / rank
 
Normal rank
Property / Symbols used: symmetric elliptic integral of second kind / qualifier
 
test:

R G ⁡ ( x , y , z ) Carlson-integral-RG 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

\CarlsonsymellintRG@{\NVar{x}}{\NVar{y}}{\NVar{z}}
Property / Symbols used: symmetric elliptic integral of second kind / qualifier
 
xml-id: C19.S16.E3.m2aadec

Revision as of 13:13, 2 January 2020

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DLMF:19.26.E21
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    Statements

    test
    2 ⁢ R G ⁡ ( x , y , z ) = 4 ⁢ R G ⁡ ( x + λ , y + λ , z + λ ) - λ ⁢ R F ⁡ ( x , y , z ) - x - y - z . 2 Carlson-integral-RG 𝑥 𝑦 𝑧 4 Carlson-integral-RG 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 𝜆 Carlson-integral-RF 𝑥 𝑦 𝑧 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle 2R_{G}\left(x,y,z\right)=4R_{G}\left(x+\lambda,y+% \lambda,z+\lambda\right)-\lambda R_{F}\left(x,y,z\right)-\sqrt{x}-\sqrt{y}-% \sqrt{z}.}}
    0 references
    DLMF id
    DLMF:19.26.E21
    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.m2addec
    0 references
    symmetric elliptic integral of second kind
    test
    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.m2aadec
    0 references
     
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