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:<math> \sum_{n=0}^\infty \frac{1}{n+a}= - \psi (a).</math>
==In applied mathematics==
Many notable probability distributions use the gamma function in the definition of their probability density or mass functions. Then in statistics when doing [[maximum likelihood estimation]] on models involving such distributions, the digamma function naturally appears when the derivative of the log-likelihood is taken for finding the maxima.
==See also==
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