DLMF:5.15.E5 (Q2174)

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DLMF:5.15.E5
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    ψ ( n ) ( z + 1 ) = ψ ( n ) ( z ) + ( - 1 ) n n ! z - n - 1 , digamma 𝑛 𝑧 1 digamma 𝑛 𝑧 superscript 1 𝑛 𝑛 superscript 𝑧 𝑛 1 {\displaystyle{\displaystyle{\psi^{(n)}}\left(z+1\right)={\psi^{(n)}}\left(z% \right)+(-1)^{n}n!z^{-n-1},}}
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    DLMF:5.15.E5
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