DLMF:1.2.E6} (Q15)

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DLMF:1.2.E6}
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    Defining formula
    ( z k ) = z ⁢ ( z - 1 ) ⁢ ⋯ ⁢ ( z - k + 1 ) k ! = ( - 1 ) k ⁢ ( - z ) k k ! = ( - 1 ) k ⁢ ( k - z - 1 k ) . binomial 𝑧 𝑘 𝑧 𝑧 1 ⋯ 𝑧 𝑘 1 𝑘 superscript 1 𝑘 Pochhammer 𝑧 𝑘 𝑘 superscript 1 𝑘 binomial 𝑘 𝑧 1 𝑘 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{z}{k}=\frac{z(z-1)\cdots(z% -k+1)}{k!}=\frac{(-1)^{k}{\left(-z\right)_{k}}}{k!}=(-1)^{k}\genfrac{(}{)}{0.0% pt}{}{k-z-1}{k}.}}
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    DLMF id
    DLMF:1.2.E6}
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