Results 31 to 40 of about 4,451,088 (304)
Monotonicity properties for a ratio of finite many gamma functions
Advances in Difference Equations, 2020 In the paper, the authors consider a ratio of finite many gamma functions and find its monotonicity properties such as complete monotonicity, the Bernstein function property, and logarithmically complete monotonicity.
Feng Qi, Dongkyu Lim
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Some Properties of the Kilbas-Saigo Function
Mathematics, 2021 We characterize the complete monotonicity of the Kilbas-Saigo function on the negative half-line. We also provide the exact asymptotics at −∞, and uniform hyperbolic bounds are derived.
Lotfi Boudabsa, Thomas Simon
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On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions [PDF]
Journal of the London Mathematical Society, 1983 The authors answer several previously open questions about c.m. (completely monotonic) sequences and functions. (1) If W(x) is c.m. on \([a,\infty)\) and \(\{\Delta x_ k\}\) is c.m. with \(x_ 0\geq a,\) then \(\{W(x_ k)\}_ 0^{\infty}\) is c.m. Also, the sequence \(\{\mu_ k^{\lambda}\},\quad\mu_ 0=1,\quad\mu_ k>0,\quad k=1,2,...,\) is c.m.
Lee Lorch, Donald J. Newman
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Applicable Analysis and Discrete Mathematics, 2021 In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein's theorem for completely monotonic functions, some properties of a function involving exponential function, and other analytic techniques, the author finds necessary ...
Feng Qi (祁锋)
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Approximations related to the complete p-elliptic integrals
Open Mathematics, 2022 In this paper, the authors present some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, by showing the monotonicity and concavity-convexity properties of certain combinations ...
Zhong Genhong, Ma Xiaoyan, Wang Fei
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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Functional inequalities for the Bickley function [PDF]
, 2013 In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
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On complete monotonicity for several classes of functions related to ratios of gamma functions
Journal of Inequalities and Applications, 2019 Let Γ(x)$\varGamma (x)$ denote the classical Euler gamma function. The logarithmic derivative ψ(x)=[lnΓ(x)]′=Γ′(x)Γ(x)$\psi (x)=[\ln \varGamma (x)]'=\frac{\varGamma '(x)}{ \varGamma (x)}$, ψ′(x)$\psi '(x)$, and ψ″(x)$\psi ''(x)$ are, respectively, called
Feng Qi (祁锋), R. Agarwal
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Journal of Inequalities and Applications, 2016 In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function
Zhen-Hang Yang, Yu-Ming Chu
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