DLMF:15.12.E2 (Q5162)

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DLMF:15.12.E2
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    test
    F ⁡ ( a , b ; c ; z ) = ∑ s = 0 m - 1 ( a ) s ⁢ ( b ) s ( c ) s ⁢ s ! ⁢ z s + O ⁡ ( c - m ) , Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑧 superscript subscript 𝑠 0 𝑚 1 Pochhammer 𝑎 𝑠 Pochhammer 𝑏 𝑠 Pochhammer 𝑐 𝑠 𝑠 superscript 𝑧 𝑠 Big-O superscript 𝑐 𝑚 {\displaystyle{\displaystyle F\left(a,b;c;z\right)=\sum_{s=0}^{m-1}\frac{{% \left(a\right)_{s}}{\left(b\right)_{s}}}{{\left(c\right)_{s}}s!}z^{s}+O\left(c% ^{-m}\right),}}
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    DLMF id
    DLMF:15.12.E2
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