Complete monotonicity results for some functions involving the gamma and polygamma functions

Authors:
Hamdullah ŞEvli;Necdet BatıR
Affiliations:
Department of Mathematics, Faculty of Arts and Sciences, Istanbul Commerce University, ísküdar, İstanbul, Turkey;Department of Mathematics, Faculty of Arts and Sciences, Nevşehir University, Nevşehir, Turkey
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

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Abstract

In this paper we prove new complete monotonicity properties of some functions involving the gamma function. As consequences of them we establish various new upper and lower bounds for the gamma function and the harmonic numbers.