DLMF:15.1.E1 (Q4975)

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DLMF:15.1.E1
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    Statements

    Defining formula
    F 1 2 ⁡ ( a , b ; c ; z ) = F ⁡ ( a , b ; c ; z ) = F ⁡ ( a , b c ; z ) , Gauss-hypergeometric-F-as-2F1 𝑎 𝑏 𝑐 𝑧 Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑧 Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left(a,b;c;z\right)=F\left(a,b;c;z% \right)=F\left({a,b\atop c};z\right),}}
    0 references
    DLMF id
    DLMF:15.1.E1
    0 references
    Symbols used
    $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
    Defining formula
    F ⁡ ( a , b ; c ; z ) Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}
    xml-id
    C15.S2.E1.m2adec
    0 references
     
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