Title
Completely Monotonic Functions Involving The Gamma And Q-Gamma Functions
Keywords
Completely monotonic functions; Gamma function; Inequalities; q-gamma function
Abstract
We give an infinite family of functions involving the gamma function whose logarithmic derivatives are completely monotonic. Each such function gives rise to an infinitely divisible probability distribution. Other similar results are also obtained for specific combinations of the gamma and g-gamma functions. ©2005 American Mathematical Society.
Publication Date
4-1-2006
Publication Title
Proceedings of the American Mathematical Society
Volume
134
Issue
4
Number of Pages
1153-1160
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1090/S0002-9939-05-08050-0
Copyright Status
Unknown
Socpus ID
33645771401 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/33645771401
STARS Citation
Grinshpan, Arcadii Z. and Ismail, Mourad E.H., "Completely Monotonic Functions Involving The Gamma And Q-Gamma Functions" (2006). Scopus Export 2000s. 8447.
https://stars.library.ucf.edu/scopus2000/8447