DLMF:19.25.E12 (Q6516): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: elliptic integral symmetric in only two variables / rank
 
Normal rank
Property / Symbols used: elliptic integral symmetric in only two variables / qualifier
 
test:

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

\CarlsonsymellintRD@{\NVar{x}}{\NVar{y}}{\NVar{z}}
Property / Symbols used: elliptic integral symmetric in only two variables / qualifier
 
xml-id: C19.S16.E5.m2aedec

Revision as of 13:06, 2 January 2020

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DLMF:19.25.E12
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    E ( ϕ , k ) k = - 1 3 k R D ( c - 1 , c - k 2 , c ) . partial-derivative elliptic-integral-second-kind-E italic-ϕ 𝑘 𝑘 1 3 𝑘 Carlson-integral-RD 𝑐 1 𝑐 superscript 𝑘 2 𝑐 {\displaystyle{\displaystyle\frac{\partial E\left(\phi,k\right)}{\partial k}=-% \tfrac{1}{3}kR_{D}\left(c-1,c-k^{2},c\right).}}
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    R D ( x , y , z ) Carlson-integral-RD 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    C19.S16.E5.m2aedec
    0 references