A class of logarithmically completely monotonic functions

The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject.

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Bibliographic Details
Published inApplied mathematics letters Vol. 21; no. 11; pp. 1134 - 1141
Main Authors Guo, Senlin, Srivastava, H.M.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.11.2008
Elsevier
Subjects
Completely monotonic functions
Exact sciences and technology
Gamma functions
Logarithmically completely monotonic functions
Mathematical analysis
Mathematics
Necessary and sufficient conditions
Numerical analysis
Numerical analysis. Scientific computation
Polygamma functions
Psi (or digamma) functions
Real functions
Sciences and techniques of general use
Special functions
Polygamma functions
Completely monotonic functions
Psi (or digamma) functions
Necessary and sufficient conditions
Logarithmically completely monotonic functions
Gamma functions
Monotonic function
Necessary and sufficient condition
Applied mathematics
Gamma function
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Summary:The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2007.10.028