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On some inequalities for the gamma and psi functions. (English) Zbl 0854.33001

Summary: We present new inequalities for the gamma and psi functions, and we provide new classes of completely monotonic, star-shaped, and super-additive functions which are related to \(\Gamma\) and \(\psi\).

MSC:

33B15 Gamma, beta and polygamma functions
26D07 Inequalities involving other types of functions
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