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Delta Complete Monotonicity and Completely Monotonic Degree on Time Scales
Bulletin of the Malaysian Mathematical Sciences Society, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing-Feng Tian
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Journal of Mathematical Analysis and Applications, 2007 Recently, several authors have studied the monotonicity properties of functions such as \(\psi(x)= \Gamma'(x)/\Gamma(x)\,.\) See, for instance, [\textit{H. Alzer, C. Berg}, ``Some classes of completely monotonic functions. II.'' Ramanujan J. 11, 225--248 (2006; Zbl 1110.26015), \textit{N. Batir}, J. Math. Anal. Appl.
Chao-Ping Chen
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Some Absolutely Monotonic and Completely Monotonic Functions
SIAM Journal on Mathematical Analysis, 1974The functions $(1 - r)^{ - 2|\lambda |} (1 - 2xr + r^2 )^{ - \lambda } $ are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for $ - 1 \leqq x \leqq 1$. One consequence is a simple proof of Kogbetliantz’s theorem on positive Cesaro summability for ultraspherical series, [7].
Askey, Richard, Pollard, Harry
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Monotonic circuits with complete acknowledgement
Ninth International Symposium on Asynchronous Circuits and Systems, 2003. Proceedings., 2003The paper studies a class of asynchronous circuits in which every signal transition on the inputs of every gate is acknowledged during the circuit operation. This property is called complete acknowledgement (CA) and it is considered here for circuits that consist of gates described by monotonic Boolean functions only.
Nikolai Starodoubtsev +2 more
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APPROXIMATION OF AND BY COMPLETELY MONOTONE FUNCTIONS
The ANZIAM Journal, 2019We investigate convergence in the cone of completely monotone functions. Particular attention is paid to the approximation of and by exponentials and stretched exponentials. The need for such an analysis is a consequence of the fact that although stretched exponentials can be approximated by sums of exponentials, exponentials cannot in general be ...
R. J. LOY, R. S. ANDERSSEN
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Monotone Completions of the Fermion Algebra
The Quarterly Journal of Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saitô, Kazuyuki, Wright, J. D. Maitland
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A Property of completely monotonic functions
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987AbstractA non-negative function f(t), t > 0, is said to be completely monotonic if its derivatives satisfy (-1)n fn (t) ≥ 0 for all t and n = 1, 2, …, For such a function, either f(t + δ) / f(t) is strictly increasing in t for each δ > 0, or f(t) = ce-dt for some constants c and d, and for all t. An application of this result is given.
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A Graphical Method for Checking Complete Monotonicity
IEEE Transactions on Computers, 1971Complete monotonicity is a necessary condition for linear separability of a switching function and it is equivalent to the 2-asummable property. A test for this property using a tabular representation of a switching function and an easily generated test card is given. This method may be used reasonably well up to six variables.
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Completely monotonic functions
Integral Transforms and Special Functions, 2001In this expository article we survey some properties of completely monotonic functions and give various examples, including some famous special functions. Such function are useful, for example, in probability theory. It is known, [1, p.450], for example, that a function w is the Laplace transform of an infinitely divisible probability distribution on ...
K.S. Miller, S.G. Samko
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On the complete monotonicity of symbol error rates
2012 IEEE International Symposium on Information Theory Proceedings, 2012In this paper, it is shown that the symbol error rate of an arbitrary multi-dimensional constellation impaired by independent and identically distributed additive white Gaussian noise under maximum likelihood detection is completely monotonic in the average SNR, if the rank of the constellation matrix is either one or two.
Adithya Rajan, Cihan Tepedelenlioglu
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