DLMF:35.8.E11 (Q9833)

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DLMF:35.8.E11
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    Statements

    Defining formula
    F q p ⁡ ( a 1 , … , a p b 1 , … , b q ; 𝐇𝐓𝐇 - 1 ) = 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 superscript 𝐇𝐓𝐇 1 Gauss-hypergeometric-of-matrix-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝐓 {\displaystyle{\displaystyle{{}_{p}F_{q}}\left({a_{1},\dots,a_{p}\atop b_{1},% \dots,b_{q}};\mathbf{H}\mathbf{T}\mathbf{H}^{-1}\right)={{}_{p}F_{q}}\left({a_% {1},\dots,a_{p}\atop b_{1},\dots,b_{q}};\mathbf{T}\right),}}
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    DLMF id
    DLMF:35.8.E11
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    constraint
    𝐇 ∈ 𝐎 ⁢ ( m ) 𝐇 𝐎 𝑚 {\displaystyle{\displaystyle\mathbf{H}\in\mathbf{O}(m)}}
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