Results 91 to 100 of about 107,939 (274)
Remarks on some completely monotonic functions
Journal of Mathematical Analysis and Applications, 2006 Applying the Euler-Maclaurin summation formula, the author proves that for all \(n=1,2,3,...\) and \(x>0\) \[ 1-\frac{x}{2}+\sum_{j=1}^{2m}\frac{B_{2j}}{(2j)!}x^{2j}
Koumandos, S., Koumandos, S.
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Complete Monotonicity of classical theta functions and applications
, 2014 We produce trigonometric expansions for Jacobi theta functions\\ $\theta_j(u,\tau), j=1,2,3,4$\ where $\tau=i\pi t, t > 0$. This permits us to prove that\ $\log \frac{\theta_j(u, t)}{\theta_j(0, t)}, j=2,3,4$ and $\log \frac{\theta_1(u, t)}{\pi \theta'_1(
Chouikha, A. Raouf
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Effects of Molecular Designs and Double‐Network Morphologies for Bioadhesive Semiconductors
Advanced Functional Materials, EarlyView.This study establishes molecular‐to‐mesoscale design rules for bioadhesive semiconducting polymers (BASCs). It identifies how side‐chain length, double‐network formation, and film thickness modulate adhesion strength and electronic performance, providing insight into the rational design of intrinsically adhesive semiconductors for stable and efficient ...
Zhichang Liu +8 more
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Mittag-Leffler functions and complete monotonicity [PDF]
Integral Transforms and Special Functions, 2014 One ...
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Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
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A generation method for completely monotone functions
Applicable Analysis and Discrete Mathematics, 2019 In this article we present technique how to produce completely monotone functions using linear functionals and already known families of completely monotone functions. After that, using mean value theorems, we construct means of Cauchy type that have monotonicity properties.
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Interconversion Relationships for Completely Monotone Functions
SIAM Journal on Mathematical Analysis, 2014 In linear viscoelasticity, the analytically valid Volterra convolution interconversion relationships between the relaxation modulus $G$ and the corresponding creep compliance (retardation) modulus $J$ play a fundamental role. They allow $J$ to be determined from both theoretical and experimental estimates of $G$ and conversely.
Loy, Richard, Anderssen, Robert
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Advanced Functional Materials, EarlyView.Two isomorphic COFs were synthesized and compared, including an amphoteric COF (SQ‐TAPT) and a neutral COF (PDA‐TAPT). The ionic bonds in SQ‐TAPT introduce more Born effective charges, thereby enhancing its ionic displacement polarization. Experimental and theoretical calculations demonstrated that SQ‐TAPT exhibited higher polarity and stronger ...
Ge Yan +12 more
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Complete Monotonicity of Special Functions
, 2015 In this work we prove that if an entire function $f(z)$ is of order strictly less than one and it has only negative zeros, then for each nonnegative integer $k,m$ the real function $\left(-\frac{1}{x}\right)^{m}\frac{d^{k}}{dx^{k}}\left(x^{k+m}\frac{d^{m}}{dx^{m}}\left(\frac{f'(x)}{f(x)}\right)\right)$ is completely monotonic on $(0,\infty ...
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Advanced Functional Materials, EarlyView.A Complexation‐Mediated Diffusion‐Limited Growth (CMDLG) framework is established to rationalize the anisotropic growth of lead‐free perovskites. Integrating coordination chemistry with mass transport kinetics, this study theoretically derives and experimentally validates that stable iodocuprate complexes induce a diffusion‐limited regime.
Hyunmin Lee +5 more
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