DLMF:5.15.E5

MaRDI QIDQ2872

• Label: DLMF:5.15.E5

Digital Library of Mathematical Functions ID 5.15.E5

${\displaystyle{\displaystyle{\psi^{(n)}}\left(z+1\right)={\psi^{(n)}}\left(z\right)+(-1)^{n}n!z^{-n-1},}}$

Symbols List

• ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$: psi (or digamma) function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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