DLMF:19.26.E20 (Q6577): 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
 
Defining formula:

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.m2aadec

Revision as of 14:13, 2 January 2020

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DLMF:19.26.E20
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    Statements

    Defining formula
    R D ⁡ ( x , y , z ) = 2 ⁢ R D ⁡ ( x + λ , y + λ , z + λ ) + 3 z ⁢ ( z + λ ) . Carlson-integral-RD 𝑥 𝑦 𝑧 2 Carlson-integral-RD 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 3 𝑧 𝑧 𝜆 {\displaystyle{\displaystyle R_{D}\left(x,y,z\right)=2R_{D}\left(x+\lambda,y+% \lambda,z+\lambda\right)+\frac{3}{\sqrt{z}(z+\lambda)}.}}
    0 references
    DLMF id
    DLMF:19.26.E20
    0 references
    Symbols used
    elliptic integral symmetric in only two variables
    Defining formula
    R D ⁡ ( x , y , z ) Carlson-integral-RD 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E5.m2aadec
    0 references
     
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