Logarithmically completely monotonic rational functions
Automatica, 2023 This paper studies the class of logarithmically completely monotonic (LCM) functions. These functions play an important role in characterising externally positive linear systems which find applications in important control problems such as non-overshooting reference tracking.
Mikael Johansson +2 more
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A class of logarithmically completely monotonic functions
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Senlin Guo, H M Srivastava
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Logarithmically completely monotonic functions and applications
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Senlin Guo
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A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS
Journal of Applied Analysis and Computation, 2015 11 ...
Feng Qi, Wen-Hui Li
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A certain function class related to the class of logarithmically completely monotonic functions
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Senlin Guo, H M Srivastava
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SOME LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS RELATED TO THE GAMMA FUNCTION [PDF]
Journal of the Korean Mathematical Society, 2010 16 ...
Bai-Ni Guo, Feng Qi
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Logarithmically completely monotonic functions relating to the gamma function
Journal of Mathematical Analysis and Applications, 2006 For \(\alpha\in\mathbb{R}\) and \(\beta\geq{0}, \beta\in\mathbb{R}\), define \(f_{\alpha,\beta}(x)=\frac{e^{x}\Gamma(x+\beta)}{x^{x+\beta-\alpha}}\) in \((0,\infty)\). In the paper the following two results are proved. The function \(f_{\alpha,\beta}(x)\) is logarithmically completely monotonic in \((0,\infty)\) if \(2{\alpha}\leq{1}\leq{\beta}\). Let \
Feng Qi, Chao-Ping Chen
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Logarithmically complete monotonicity of ratios of q-gamma functions
Journal of Mathematical Analysis and Applications, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Jing-Feng, Yang, Zhenhang
openaire +1 more source
Supplements to a class of logarithmically completely monotonic functions associated with the gamma function [PDF]
Applied Mathematics and Computation, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi, Senlin Guo, H M Srivastava
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Two logarithmically completely monotonic functions connected with gamma function [PDF]
Integral Transforms and Special Functions, 2006 In this note, the logarithmically completely monotonic properties of the functions [Γ(1 + x)] y /Γ(1 + xy) and Γ(1 + y)[Γ(1 + x)] y /Γ(1 + xy) are established and some related results are generalized and extended.
Feng Qi
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