Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Some gamma function inequalities


Author: Horst Alzer
Journal: Math. Comp. 60 (1993), 337-346
MSC: Primary 33B15; Secondary 26D20
MathSciNet review: 1149288
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio $ \Gamma (x + 1)/\Gamma (x + s)$ are obtained and compared with related bounds given in part by J. D. Kečkić and P. M. Vasić. Our results are further applied to obtain functions which are Laplace transforms of infinitely divisible probability measures.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 33B15, 26D20

Retrieve articles in all journals with MSC: 33B15, 26D20


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1993-1149288-7
PII: S 0025-5718(1993)1149288-7
Keywords: Gamma function, psi function, complete monotonicity, inequalities, identric mean, infinite divisibility, Laplace transform
Article copyright: © Copyright 1993 American Mathematical Society