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A Note on Completely and Absolutely Monotone Functions
Canadian Mathematical Bulletin, 1982AbstractThe solutions of a certain class of first order linear differential equations are shown to be either completely or absolutely monotone depending on the nature of its coefficients. This is a simple theorem which is used to deduce a number of new and interesting results dealing with the complete and absolute monotonicity of functions.
Mahajan, Arvind, Ross, Dieter K.
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DYNAMIC ACTIONS ON MONOTONE COMPLETE FACTORS
The Quarterly Journal of Mathematics, 1993Recall that for \(A\) a unital, monotone complete \(C^*\)-algebra, \(G_ 1\) and \(G_ 2\) countably infinite groups, and \(\alpha_ 1\), \(\alpha_ 2\) actions of \(G_ 1\) and \(G_ 2\), respectively, as \(*\)-automorphisms of \(A\), the actions \(\alpha_ 1\) and \(\alpha_ 2\) are called weakly equivalent if there exists an isomorphism of the monotone ...
Saitô, Kazuyuki, Wright, J. D. Maitland
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Completely monotone functions on lie semigroups
Ukrainian Mathematical Journal, 2000A totally monotone function on a semigroup \(S\) was defined by \textit{A. Devinatz} and \textit{A. E. Nussbaum} [Duke Math. J. 28, 221-237 (1961; Zbl 0118.11201)] as a function satisfying certain difference inequalities. The author shows that the latter are equivalent to some differential inequalities if \(S\) is a Lie semigroup.
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Generalized Gamma convolutions and complete monotonicity
Probability Theory and Related Fields, 1990Let \({\mathcal C}\) be the class of pdf's f on (0,\(\infty)\) such that, for each \(u>0\), f(uv)f(u/v) is completely monotone as a function of \(w=v+v^{-1}\). This class includes many familiar pdf's and is closed with respect to multiplication and division of independent rv's.
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Complete Monotonicity of the Remainder of the Asymptotic Series for the Ratio of Two Gamma Functions
Journal of Mathematical Analysis and Applications, 2023Jing-Feng Tian, Zhen-Hang Yang
exaly
A Completely Monotonic Function: 11140
The American Mathematical Monthly, 2006Walther Janous, Rolf Richberg
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The completeness of monotonic modal logics
Mathematical Logic Quarterly, 1975Brian F. Chellas, Audrey McKinney
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Complete Monotonicity for a New Ratio of Finitely Many Gamma Functions
Acta Mathematica Scientia, 2022Feng Qi
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Logarithmically Complete Monotonicity of Ratios of q-Gamma Functions
Journal of Mathematical Analysis and Applications, 2022Jing-Feng Tian, Zhen-Hang Yang
exaly