DLMF:19.16.E23 (Q6341)

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DLMF:19.16.E23
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    R G ( 0 , y , z ) = 1 4 π R 1 2 ( 1 2 , 1 2 ; y , z ) = 1 4 π z R - 1 2 ( - 1 2 , 3 2 ; y , z ) . Carlson-integral-RG 0 𝑦 𝑧 1 4 𝜋 Carlson-integral-R 1 2 1 2 1 2 𝑦 𝑧 1 4 𝜋 𝑧 Carlson-integral-R 1 2 1 2 3 2 𝑦 𝑧 {\displaystyle{\displaystyle R_{G}\left(0,y,z\right)=\tfrac{1}{4}\pi R_{\frac{% 1}{2}}\left(\tfrac{1}{2},\tfrac{1}{2};y,z\right)=\tfrac{1}{4}\pi zR_{-\frac{1}% {2}}\left(-\tfrac{1}{2},\tfrac{3}{2};y,z\right).}}
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    DLMF:19.16.E23
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    R - a ( b 1 , , b n ; z 1 , , z n ) Carlson-integral-R 𝑎 subscript 𝑏 1 subscript 𝑏 𝑛 subscript 𝑧 1 subscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}
    C19.S16.E9.m2amdec
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