DLMF:19.21.E6 (Q6424)

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DLMF:19.21.E6
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    Statements

    test
    ( r ⁢ p / z ) ⁢ R J ⁡ ( 0 , y , z , p ) = ( r - 1 ) ⁢ R F ⁡ ( 0 , y , z ) ⁢ R D ⁡ ( p , r ⁢ z , z ) + R D ⁡ ( 0 , y , z ) ⁢ R F ⁡ ( p , r ⁢ z , z ) , 𝑟 𝑝 𝑧 Carlson-integral-RJ 0 𝑦 𝑧 𝑝 𝑟 1 Carlson-integral-RF 0 𝑦 𝑧 Carlson-integral-RD 𝑝 𝑟 𝑧 𝑧 Carlson-integral-RD 0 𝑦 𝑧 Carlson-integral-RF 𝑝 𝑟 𝑧 𝑧 {\displaystyle{\displaystyle(\sqrt{rp}/z)R_{J}\left(0,y,z,p\right)={(r-1)}R_{F% }\left(0,y,z\right)R_{D}\left(p,rz,z\right)+R_{D}\left(0,y,z\right)R_{F}\left(% p,rz,z\right),}}
    0 references
    DLMF id
    DLMF:19.21.E6
    0 references
    constraint
    r = ( y - p ) / ( y - z ) > 0 𝑟 𝑦 𝑝 𝑦 𝑧 0 {\displaystyle{\displaystyle r=(y-p)/(y-z)>0}}
    0 references
     
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