DLMF:19.24.E10 (Q6493): Difference between revisions

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

R F ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

\CarlsonsymellintRF@{\NVar{x}}{\NVar{y}}{\NVar{z}}
Property / Symbols used: symmetric elliptic integral of first kind / qualifier
 
xml-id: C19.S16.E1.m2addec

Latest revision as of 13:04, 2 January 2020

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DLMF:19.24.E10
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    Statements

    3 x + y + z R F ( x , y , z ) 1 ( x y z ) 1 / 6 , 3 𝑥 𝑦 𝑧 Carlson-integral-RF 𝑥 𝑦 𝑧 1 superscript 𝑥 𝑦 𝑧 1 6 {\displaystyle{\displaystyle\frac{3}{\sqrt{x}+\sqrt{y}+\sqrt{z}}\leq R_{F}% \left(x,y,z\right)\leq\frac{1}{(xyz)^{1/6}},}}
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    R F ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    C19.S16.E1.m2addec
    0 references