Title of article
Complete monotonicity results for some functions involving the gamma and polygamma functions
Author/Authors
?evli?، نويسنده , , Hamdullah and Bat?r، نويسنده , , Necdet، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
5
From page
1771
To page
1775
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.
Keywords
gamma function , Complete monotonicity , Digamma function , Polygamma functions , Stirling formula , Harmonic numbers
Journal title
Mathematical and Computer Modelling
Serial Year
2011
Journal title
Mathematical and Computer Modelling
Record number
1597784
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