DLMF:19.25.E27 (Q6533)

From testwiki
Revision as of 13:08, 2 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:19.25.E27
No description defined

    Statements

    test
    2 ⁢ ( z - x ) - 1 / 2 ⁢ R G ⁡ ( x , y , z ) = E ⁡ ( ϕ , k ) + ( cot ⁡ ϕ ) 2 ⁢ F ⁡ ( ϕ , k ) + ( cot ⁡ ϕ ) ⁢ 1 - k 2 ⁢ sin 2 ⁡ ϕ . 2 superscript 𝑧 𝑥 1 2 Carlson-integral-RG 𝑥 𝑦 𝑧 elliptic-integral-second-kind-E italic-ϕ 𝑘 superscript italic-ϕ 2 elliptic-integral-first-kind-F italic-ϕ 𝑘 italic-ϕ 1 superscript 𝑘 2 2 italic-ϕ {\displaystyle{\displaystyle 2(z-x)^{-1/2}R_{G}\left(x,y,z\right)=E\left(\phi,% k\right)+(\cot\phi)^{2}F\left(\phi,k\right)+(\cot\phi)\sqrt{1-k^{2}{\sin^{2}}% \phi}.}}
    0 references
    DLMF id
    DLMF:19.25.E27
    0 references
    Symbols used
    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.m2abdec
    0 references
    cotangent function
    test
    cot ⁡ z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    xml-id
    C4.S14.E7.m2adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q6533&oldid=36701"