DLMF:19.18.E9 (Q6352): 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

Revision as of 12:54, 2 January 2020

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DLMF:19.18.E9
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    Statements

    ( x x + y y + z z ) R F ( x , y , z ) = - 1 2 R F ( x , y , z ) , 𝑥 partial-derivative 𝑥 𝑦 partial-derivative 𝑦 𝑧 partial-derivative 𝑧 Carlson-integral-RF 𝑥 𝑦 𝑧 1 2 Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle\left(x\frac{\partial}{\partial x}+y\frac{\partial% }{\partial y}+z\frac{\partial}{\partial z}\right)R_{F}\left(x,y,z\right)=-% \tfrac{1}{2}R_{F}\left(x,y,z\right),}}
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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