DLMF:19.20.E13 (Q6398): Difference between revisions

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Property / constraint
 

p = x ± ( y - x ) ( z - x ) 𝑝 plus-or-minus 𝑥 𝑦 𝑥 𝑧 𝑥 {\displaystyle{\displaystyle p=x\pm\sqrt{(y-x)(z-x)}}}

p=x\pm\sqrt{(y-x)(z-x)}
Property / constraint: p = x ± ( y - x ) ( z - x ) 𝑝 plus-or-minus 𝑥 𝑦 𝑥 𝑧 𝑥 {\displaystyle{\displaystyle p=x\pm\sqrt{(y-x)(z-x)}}} / rank
 
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Revision as of 17:06, 30 December 2019

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DLMF:19.20.E13
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    Statements

    2 ( p - x ) R J ( x , y , z , p ) = 3 R F ( x , y , z ) - 3 x R C ( y z , p 2 ) , 2 𝑝 𝑥 Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑝 3 Carlson-integral-RF 𝑥 𝑦 𝑧 3 𝑥 Carlson-integral-RC 𝑦 𝑧 superscript 𝑝 2 {\displaystyle{\displaystyle 2(p-x)R_{J}\left(x,y,z,p\right)=3R_{F}\left(x,y,z% \right)-3\sqrt{x}R_{C}\left(yz,p^{2}\right),}}
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    p = x ± ( y - x ) ( z - x ) 𝑝 plus-or-minus 𝑥 𝑦 𝑥 𝑧 𝑥 {\displaystyle{\displaystyle p=x\pm\sqrt{(y-x)(z-x)}}}
    0 references