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Visual modelling can optimise sticky trap design for simultaneous monitoring of multiple species of insect pests. [PDF]
Roberts NS +6 more
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Structural convergence and membrane interactions of Aβ<sub>1-42</sub> along the primary nucleation process studied by solid state NMR. [PDF]
Kengwerere MK +11 more
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Heterogeneous Mediation Analysis for Cox Proportional Hazards Model With Multiple Mediators. [PDF]
Sun R, Song X.
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Bayesian Nonparametric Models for Multiple Raters: A General Statistical Framework. [PDF]
Mignemi G, Manolopoulou I.
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A Note on the Trigamma Function
American Mathematical Monthly, 1976(1976). A Note on the Trigamma Function. The American Mathematical Monthly: Vol. 83, No. 8, pp. 622-623.
Harold Ruben
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Mathematica Slovaca, 2022
Abstract With the aid of convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the author presents decreasing property of a ratio constituted via three derivatives of a sum involving trigamma ...
Feng Qi
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Abstract With the aid of convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the author presents decreasing property of a ratio constituted via three derivatives of a sum involving trigamma ...
Feng Qi
exaly +3 more sources
Estimating the Digamma and Trigamma Functions by Completely Monotonicity Arguments
Applied Mathematics and Computation, 2010A real valued function \(f\) is completely monotonic on \((0,1)\) if it has derivatives of all orders and for every \(x\in (0,1)\) and \(n\geq 1\), we have \((-1)^nf^{(n)}(x)\geq 0\). Motivated by approximation of the Gamma function and \(n!\), the author considers the function \(F_a:[0,\infty)\to\mathbb{R}\) defined by \[ F_a(x)=\ln\Gamma(x+1)-\left(x+
Cristinel Mortici
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Completely Monotonic Functions Related to the q-Gamma and the q-Trigamma Functions
Analysis and Applications, 2015In this paper, two completely monotonic functions involving the q-gamma and the q-trigamma functions where q is a positive real, are introduced and exploited to derive sharp bounds for the q-gamma function in terms of the q-trigamma function. These results, when letting q → 1, are shown to be new. Also, sharp bounds for the q-digamma function in terms
Ahmed Salem
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