DLMF:19.25.E43 (Q6551)

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DLMF:19.25.E43
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    Defining formula
    R - a ⁡ ( b 1 , b 2 ; z 1 , z 2 ) = z 2 - a ⁢ F 1 2 ⁡ ( a , b 1 ; b 1 + b 2 ; 1 - ( z 1 / z 2 ) ) . Carlson-integral-R 𝑎 subscript 𝑏 1 subscript 𝑏 2 subscript 𝑧 1 subscript 𝑧 2 superscript subscript 𝑧 2 𝑎 Gauss-hypergeometric-F-as-2F1 𝑎 subscript 𝑏 1 subscript 𝑏 1 subscript 𝑏 2 1 subscript 𝑧 1 subscript 𝑧 2 {\displaystyle{\displaystyle R_{-a}\left(b_{1},b_{2};z_{1},z_{2}\right)=z_{2}^% {-a}{{}_{2}F_{1}}\left(a,b_{1};b_{1}+b_{2};1-(z_{1}/z_{2})\right).}}
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    DLMF id
    DLMF:19.25.E43
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