DLMF:5.15.E7 (Q2176)

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DLMF:5.15.E7
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    ψ ( n ) ( m z ) = 1 m n + 1 k = 0 m - 1 ψ ( n ) ( z + k m ) . digamma 𝑛 𝑚 𝑧 1 superscript 𝑚 𝑛 1 superscript subscript 𝑘 0 𝑚 1 digamma 𝑛 𝑧 𝑘 𝑚 {\displaystyle{\displaystyle{\psi^{(n)}}\left(mz\right)=\frac{1}{m^{n+1}}\sum_% {k=0}^{m-1}{\psi^{(n)}}\left(z+\frac{k}{m}\right).}}
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