Results 51 to 60 of about 6,291 (196)

Completely Monotonic and Related Functions

Journal of Mathematical Analysis and Applications, 1996
Let \(L^N\) denote the class of functions defined by \[ f\in L^N\Leftrightarrow (-1)^k f^{(k)}(t)\geq 0,\quad \forall t>0,\quad \forall k,\quad 0\leq k\leq N. \] For \(N\to \infty\) we write \(f\in L\); such functions are well known as completely monotonic on \((0,\infty)\). The implication \[ f\in L^N\Rightarrow [\forall \alpha> 1: f^\alpha\in L^N] \]
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Note on Completely Monotone Densities

The Annals of Mathematical Statistics, 1969
In [2] it is proved that mixtures of exponential distributions are infinitely divisible (id). In [3] it is proved that the same holds for the discrete analogue, i.e. for mixtures of geometric distributions. In this note we show that these results imply that a density function $f(x)$ (or distribution $\{p_n\}$ on the integers) is id if the function $f(x)
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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.
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Some results on the complete monotonicity of Mittag-Leffler functions of Le Roy type [PDF]

, 2019
The paper [5] by R. Garrappa, S. Rogosin, and F. Mainardi, entitled "On a generalized three-parameter Wright function of the Le Roy type" and published in Fract. Calc. Appl. Anal.
Horzela, Andrzej, Górska, Katarzyna, Garrappa, Roberto   +2 more
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Monotonicity theorems and inequalities for the complete elliptic integrals

, 2004
We prove monotonicity properties of certain combinations of complete elliptic integrals of the first and second kind, K and E.
Song-Liang Qiu, Horst Alzer, Alzer, Horst, Qiu, Song-Liang   +3 more
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Continuity, completeness, betweenness and cone-monotonicity [PDF]

Mathematical Social Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edi Karni, Zvi Safra
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Complete monotonicity and zeros of sums of squared Baskakov functions

, 2014
We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions.
Abel, Ulrich, Thorsten Neuschel, Neuschel, Thorsten, Wolfgang Gawronski, Ulrich Abel, Gawronski, Wolfgang   +5 more
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Complete Monotonicity of Logarithmic Mean

, 2007
In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is ...
Qi, Feng
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Complete monotonicity and inequalities related to generalized k-gamma and k-polygamma functions

Journal of Inequalities and Applications, 2020
In this paper, we prove new complete monotonicity properties of some functions related to generalized k-gamma and k-polygamma functions. Applications of the results yield various new inequalities. In the end, double inequalities are constructed involving
Ju-Mei Zhang, Li Yin, Hong-Lian You
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Approximating Feynman integrals using complete monotonicity and Stieltjes properties

Journal of High Energy Physics
We introduce two novel numerical approaches for computing Feynman integrals based on their complete monotonicity (CM) and Stieltjes properties. The first method uses that scalar Feynman integrals are CM, meaning that all their derivatives have a fixed ...
Sara Ditsch, Johannes M. Henn, Prashanth Raman   +2 more
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