DLMF:19.16.E19 (Q6337)

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DLMF:19.16.E19
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    Statements

    R - a ( b 1 , , b n ; 0 , z 2 , , z n ) = B ( a , a - b 1 ) B ( a , a ) R - a ( b 2 , , b n ; z 2 , , z n ) , Carlson-integral-R 𝑎 subscript 𝑏 1 subscript 𝑏 𝑛 0 subscript 𝑧 2 subscript 𝑧 𝑛 Euler-Beta 𝑎 superscript 𝑎 subscript 𝑏 1 Euler-Beta 𝑎 superscript 𝑎 Carlson-integral-R 𝑎 subscript 𝑏 2 subscript 𝑏 𝑛 subscript 𝑧 2 subscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{-a}\left(b_{1},\dots,b_{n};0,z_{2},\dots,z_{n}% \right)=\frac{\mathrm{B}\left(a,a^{\prime}-b_{1}\right)}{\mathrm{B}\left(a,a^{% \prime}\right)}R_{-a}\left(b_{2},\dots,b_{n};z_{2},\dots,z_{n}\right),}}
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    DLMF:19.16.E19
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    a > b 1 superscript 𝑎 subscript 𝑏 1 {\displaystyle{\displaystyle a^{\prime}>b_{1}}}
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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.m2aidec
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