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ISSN 1449-5910  

 

Paper Information

Paper Title:

Two Classes of Completely Monotonic Functions Involving Gamma and Polygamma Functions

Author(s):

Bai-Ni Guo, Xiao-Ai Li and Feng Qi

School of Mathematics and Informatics, Henan Polytechnic University,
Jiaozuo City, Henan Province, 454010,
China.
bai.ni.guo@gmail.com

College of Mathematics and Information Science,
Henan Normal University, Xinxiang City,
Henan Province, 453007,
China.
lxa.hnsd@163.com

Research Institute of Mathematical Inequality Theory,
Henan Polytechnic University, Jiaozuo City,
Henan Province, 454010,
China
qifeng618@gmail.com
qifeng618@hotmail.com
qifeng618@qq.com
URLhttp://rgmia.vu.edu.au/qi.html

Abstract:

The function

is logarithmically completely monotonic in (0,∞) if and only if c≥1 and its reciprocal is logarithmically completely monotonic in (0,∞) if and only if c≤0. The function

is completely monotonic in (0,∞) if and only if c≥1 and its negative is completely monotonic in (0,∞)  if and only if c≤0.

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