Results 41 to 50 of about 4,451,088 (304)
Constructing models for spherical and elliptical densities
Dependence Modeling, 2023 The article provides construction algorithms for consistent model classes of continuous spherical and elliptical distributions. The algorithms are based on characterization theorems for consistent families of generator functions.
Liebscher Eckhard
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A combinatorial proof of the Gaussian product inequality beyond the MTP2 case
Dependence Modeling, 2022 A combinatorial proof of the Gaussian product inequality (GPI) is given under the assumption that each component of a centered Gaussian random vector X=(X1,…,Xd){\boldsymbol{X}}=\left({X}_{1},\ldots ,{X}_{d}) of arbitrary length can be written as a ...
Genest Christian, Ouimet Frédéric
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Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives
Abstract and Applied Analysis, 2014 Some complete monotonicity results that the functions ±1/e±t-1 are logarithmically completely monotonic, and that differences between consecutive derivatives of these two functions are completely monotonic, and that the ratios between consecutive ...
Chun-Fu Wei, Bai-Ni Guo
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A SOLUTION TO QI’S EIGHTH OPEN PROBLEM ON COMPLETE MONOTONICITY
Проблемы анализа, 2021 n this paper, the complete monotonicity of 1/( arctan 𝑥) is proved. This problem was posted by F. Qi and R. P. Agarwal as the eighth open problem of collection of eight open problems.
A. Venkata Lakshmi
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, 2020 In the paper, by convolution theorem for the Laplace transforms and analytic techniques, the author finds necessary and sufficient conditions for complete monotonicity, monotonicity, and inequalities of several functions involving polygamma functions. By
Feng Qi (祁锋)
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Completely Monotone Functions: A Digest [PDF]
, 2014 To appear in: K. Alladi, G.V. Milovanovic and M. Th. Rassias (Eds.): "Analytic Number Theory, Approximation Theory and Special Functions", Special Volume dedicated to Professor Hari M.
Milan Merkle, Milan Merkle
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Dunkl completely monotonic functions [PDF]
Journal of Difference Equations and Applications, 2017 We introduce the notion of Dunkl completely monotonic functions on $\left(- , \right), >0$. We establish a restrictive version of the analogue of Schoenberg's theorem in Dunkl setting.
Khaled Mehrez, Jamel El Kamel
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Some Properties of the Fuss–Catalan Numbers
Mathematics, 2018 In the paper, the authors express the Fuss⁻Catalan numbers as several forms in terms of the Catalan⁻Qi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the ...
Feng Qi, Pietro Cerone
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Monotonicity properties and bounds for the complete p-elliptic integrals
AIMS Mathematics, 2020 In the article, we establish some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, and find several sharp bounds for the p-elliptic integrals. Our results are the generalizations and
Xi-Fan Huang +4 more
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A class of completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2022 Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
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