DLMF:19.25.E42 (Q6550)

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DLMF:19.25.E42
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    Statements

    Defining formula
    F 1 2 ⁡ ( a , b ; c ; z ) = R - a ⁡ ( b , c - b ; 1 - z , 1 ) , Gauss-hypergeometric-F-as-2F1 𝑎 𝑏 𝑐 𝑧 Carlson-integral-R 𝑎 𝑏 𝑐 𝑏 1 𝑧 1 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left(a,b;c;z\right)=R_{-a}\left(b,c-% b;1-z,1\right),}}
    0 references
    DLMF id
    DLMF:19.25.E42
    0 references
    Symbols used
    multivariate hypergeometric function
    Defining formula
    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)}}
    xml-id
    C19.S16.E9.m2acdec
    0 references
     
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