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m No point defining the symbol after it's been used |
m →Recurrence formulae: Slightly rephrased |
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<math>\psi(1 - x) - \psi(x) = \pi\,\!\cot{ \pi x}</math>
which
The digamma function satisfies the [[recurrence relation]]
<math>\psi(x + 1) = \psi(x) + \frac{1}{x}</math>
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Note that this satisfies the recurrence relation of a partial sum of the [[harmonic series]], thus implying the formula
<math> \psi(x) = H_{n-1} - \gamma</math>
===Special values===
The digamma function has the following special values:
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