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Limits on the computational expressivity of non-equilibrium biophysical processes. [PDF]

Nat Commun
Floyd C, Dinner AR, Murugan A, Vaikuntanathan S.   +3 more
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Automated model refinement using perturbation-observation pairs. [PDF]

NPJ Syst Biol Appl
Park KH, Rozum JC, Albert R.
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Origins of Electromechanical Behavior in Surface-Localized Nanocomposites: Insights into Crack Network Dynamics and Particle Network Rearrangements. [PDF]

ACS Appl Polym Mater
Ryan EA, Raia NE, Reynolds JR, Shofner ML.   +3 more
europepmc   +1 more source

Robust Inverse Reconstruction of Time-Varying Transmission Rates Across Model Structures and Incidence Forms. [PDF]

Bull Math Biol
Wang X, Wang H.
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Distributed range adaptation in human parietal encoding of numbers

Prat-Carrabin A, de Hollander G, Bedi S, Gershman SJ, Ruff CC.   +4 more
europepmc   +1 more source

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Some Absolutely Monotonic and Completely Monotonic Functions

SIAM Journal on Mathematical Analysis, 1974
The 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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Completely monotonic functions

Integral Transforms and Special Functions, 2001
In 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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Some classes of completely monotonic functions, II

The Ramanujan Journal, 2006
[For part I see Ann. Acad. Sci. Fenn., Math. 27, No. 2, 445--460 (2002; Zbl 1021.26002).] A function \(f:(0,\infty )\rightarrow \mathbb{R}\) is said to be completely monotonic if \((-1)^{n}f^{(n)}(x)\geq 0\) for all \(x>0\) and \(n=0,1,2,\dots\) The authors present some new classes of completely monotonic functions.
Alzer, Horst, Berg, Christian
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