Title of article
Some completely monotonic functions involving polygamma functions and an application
Author/Authors
Feng Qi ?، نويسنده , , Run-Qing Cui، نويسنده , , Chaoping Chen، نويسنده , , Bai-Ni Guo، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
6
From page
303
To page
308
Abstract
By using the first Binet’s formula the strictly completely monotonic properties of functions involving
the psi and polygamma functions are obtained. As direct consequences, two inequalities are
proved. As an application, the best lower and upper bounds of the nth harmonic number are established.
2005 Elsevier Inc. All rights reserved.
Keywords
Gamma function , Completely monotonic function , Polygamma function , Harmonic sequence , Harmonicnumber , Psi function
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
934090
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