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FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION
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 Title & Authors
FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION
Qi, Feng; Niu, Da-Wei; Cao, Jian; Chen, Shou-Xin;
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 Abstract
In this paper, two classes of functions, involving a parameter and the classical Euler gamma function, and two functions, involving the classical Euler gamma function, are verified to be logarithmically completely monotonic in or ; some inequalities involving the classical Euler gamma function are deduced and compared with those originating from certain problems of traffic flow, due to J. Wendel and A. Laforgia, and relating to the well known Stirling`s formula.
 Keywords
logarithmically completely montonic function;completely monotonic function;ratio of the gamma functions;Kershaw`s inequality;Laforgia`s inequality;Stirling`s formula;Wendel`s inequality;
 Language
English
 Cited by
1.
Bounds for the Ratio of Two Gamma Functions, Journal of Inequalities and Applications, 2010, 2010, 1  crossref(new windwow)
2.
A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function, Journal of Inequalities and Applications, 2010, 2010, 1, 392431  crossref(new windwow)
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A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi–Kershaw’s inequality, Journal of Computational and Applied Mathematics, 2009, 224, 2, 538  crossref(new windwow)
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Multivariate Regular Variation of Discrete Mass Functions with Applications to Preferential Attachment Networks, Methodology and Computing in Applied Probability, 2016  crossref(new windwow)
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Logarithmically Complete Monotonicity Properties Relating to the Gamma Function, Abstract and Applied Analysis, 2011, 2011, 1  crossref(new windwow)
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Asian options and meromorphic Lévy processes, Finance and Stochastics, 2014, 18, 4, 825  crossref(new windwow)
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Wendel’s and Gautschi’s inequalities: Refinements, extensions, and a class of logarithmically completely monotonic functions, Applied Mathematics and Computation, 2008, 205, 1, 281  crossref(new windwow)
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