A completely monotonic function involving the tri-gamma function and with degree one

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• 作者：Bai-Ni Guo ^{bai.ni.guo@gmail.com bai.ni.guo@hotmail.com} ; Feng Qi ; ^{qifeng618@gmail.com} ; ^{qifeng618@hotmail.com} ; ^{qifeng618@qq.com} ;
• 关键词：Completely monotonic degree ; Nonnegative function ; Completely monotonic function ; Tri-gamma function ; Notation
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 期刊代码：7_00963003
• 类别：cp
• 出版时间：1 June, 2012
• 卷：218
• 期：19
• 页码：9890-9897
• 文件大小：180 K

摘要

In the paper the authors introduce the concept of completely monotonic degrees of nonnegative functions on and proves that a function involving the difference between the tri-gamma function and a proper fraction of x is completely monotonic of degree 1 on .