Logarithmically completely monotonic functions involving the Generalized Gamma Function
By a simple approach, two classes of functions involving generalization Euler's gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi ...
Faton Merovci, Valmir Krasniqi
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Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions [PDF]
By a simple approach, two classes of functions involving Euler’s gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed ...
Qi, Feng
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Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic [PDF]
In the article, sufficient and necessary conditions that a class of functions involving ratio of Euler’s gamma functions and originating from Wendel-Gautschi-Kershaw’s double inequalities are logarithmically completely monotonic are presented.
Qi, Feng, Guo, Bai-Ni
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A Logarithmically Completely Monotonic Function Involving the Gamma Function [PDF]
In this paper ,we present some logarithmically completely monotonic functions .
An, Miao-Qing
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Logarithmically Completely Monotonic Ratios of Mean Values and an Application [PDF]
In the article, some strictly Logarithmically completely monotonic ratios of mean values are ...
Qi, Feng, Chen, Chao-Ping
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From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. [PDF]
In the paper, the authors review origins, motivations, and generalizations of a series of inequalities involving several exponential functions and sums, establish three new inequalities involving finite exponential functions and sums by finding convexity of a function related to the generating function of the Bernoulli numbers, survey the history ...
Qi F, Guo BN.
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Logarithmically Complete Monotonicity of a Function Involving the Gamma Functions [PDF]
The monotonic functions were first introduced by S. Bernstein as functions which are non-negative with non-negative derivatives of all orders. He proved that such functions are necessarily analytic and he showed later that if a function is absolutely monotonic on the negative real axis then it can be represented there by a Laplace- Stieitjes integral ...
Mohammad Soueycatt +3 more
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Completely monotonic degrees for a difference between the logarithmic and psi functions [PDF]
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Feng Qi 0001, Ai-Qi Liu
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A Class of Logarithmically Completely Monotonic Functions and Their Applications [PDF]
We study the recent investigations on a class of functions which are logarithmically completely monotonic. Two open problems are also presented.
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A New Lower Bound in the Second Kershaw's Double Inequality [PDF]
In the paper, a new and elegant lower bound in the second Kershaw’s double inequality is established, some alternative simple and polished proofs are given, several deduced functions involving the gamma and psi functions are proved to be decreasingly ...
Qi, Feng
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