DLMF:35.7.E11 (Q9822)

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DLMF:35.7.E11
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    Statements

    Defining formula
    F 1 2 ⁡ ( a , b c ; 𝐈 - α - 1 ⁢ 𝐓 ) Gauss-hypergeometric-of-matrix-pFq 2 1 𝑎 𝑏 𝑐 𝐈 superscript 𝛼 1 𝐓 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left({a,b\atop c};\mathbf{I}-\alpha^% {-1}\mathbf{T}\right)}}
    0 references
    DLMF id
    DLMF:35.7.E11
    0 references
    Symbols used
    generalized hypergeometric function of matrix argument
    Defining formula
    F q p ⁡ ( a 1 , … , a p ; b 1 , … , b q ; 𝐓 ) Gauss-hypergeometric-of-matrix-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝐓 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}
    xml-id
    C35.S8.E1.m2aidec
    0 references
    Q12726
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C35.S1.XMD1.m1idec
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    Q12724
    Defining formula
    𝐓 𝐓 {\displaystyle{\displaystyle\mathbf{T}}}
    xml-id
    C35.S1.XMD11.m1gdec
    0 references
     
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