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
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
Journal title :
Mathematical and Computer Modelling
