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Sharp inequalities for the diagramma and polygamma functions. (English) Zbl 1048.33001

Several inequalities for the digamma function \(\psi=\Gamma'/\Gamma\) and the polygamma functions \(\psi'\), \(\psi''\), \(\psi'''\), \(\ldots\) are given. The new results improve and extend several classical and recently published results.

MSC:

33B15 Gamma, beta and polygamma functions
26D15 Inequalities for sums, series and integrals
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