Results 131 to 140 of about 5,394,885 (148)

Structural convergence and membrane interactions of Aβ<sub>1-42</sub> along the primary nucleation process studied by solid state NMR. [PDF]

open access: yesCommun Chem
Kengwerere MK   +11 more
europepmc   +1 more source

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
exaly   +2 more sources

Decreasing Property and Complete Monotonicity of Two Functions Constituted via Three Derivatives of a Function Involving Trigamma Function

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
exaly   +3 more sources

Estimating the Digamma and Trigamma Functions by Completely Monotonicity Arguments

Applied Mathematics and Computation, 2010
A 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
exaly   +3 more sources

Completely Monotonic Functions Related to the q-Gamma and the q-Trigamma Functions

Analysis and Applications, 2015
In 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
exaly   +3 more sources

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