Results 81 to 90 of about 5,079 (264)

Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity

open access: yesJournal of Mathematics
Our aim is to provide, using properties of the gamma function and the complete monotonicity of functions, some sharp bounds for the products ∏k=1n‍5k−i/5k, i=1,2,3,4.
Jenică Crînganu   +1 more
doaj   +1 more source

On complete monotonicity for several classes of functions related to ratios of gamma functions

open access: yesJournal of Inequalities and Applications, 2019
Let Γ(x) $\varGamma (x)$ denote the classical Euler gamma function. The logarithmic derivative ψ(x)=[lnΓ(x)]′=Γ′(x)Γ(x) $\psi (x)=[\ln \varGamma (x)]'=\frac{\varGamma '(x)}{ \varGamma (x)}$, ψ′(x) $\psi '(x)$, and ψ″(x) $\psi ''(x)$ are, respectively ...
Feng Qi, Ravi P. Agarwal
doaj   +1 more source

Mechanoregulatory Effects of Cell‐Scale Microwells on Epithelial Cell Phenotype

open access: yesAdvanced Functional Materials, EarlyView.
In small polycaprolactone microwells, A549 epithelial cells span well edges, in contrast to cells growing on flat substrates. Focal adhesion sites (yellow) concentrate at topographic boundaries, while cytoskeletal tension (magenta stress fibers) is transmitted to the nucleus (blue), reducing nuclear sphericity.
Ruiwen He   +10 more
wiley   +1 more source

Self‐Powered Permeable Electronic Dressing for Exudate Management, Electrostimulation and Drug Delivery in Chronic Wound Healing

open access: yesAdvanced Functional Materials, EarlyView.
This study develops a self‐powered permeable electronic dressing (SPED) that synergistically integrates exudate management, electrical stimulation, and on‐demand drug delivery. The dressing effectively absorbs exudate while demonstrating potent antibacterial activity and accelerated tissue regeneration in diabetic mouse models, thereby promoting ...
Jiaheng Liang   +12 more
wiley   +1 more source

Breathable Graphene Oxide‐Polymer Composite Membranes With Two‐Step Barrier Mechanism Against Nerve Agents

open access: yesAdvanced Functional Materials, EarlyView.
ABSTRACT Breathable membranes that reject chemical warfare agents (CWAs) are required for next‐generation protective apparel. A dual‐function graphene oxide (GO)‐polyamine architecture is introduced that addresses the long‐standing tradeoff between vapor transmission and CWA selectivity.
Hyungjun Kim   +6 more
wiley   +1 more source

On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

open access: yesAxioms
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce ...
Yuri Luchko
doaj   +1 more source

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

open access: yesAdvanced 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
wiley   +1 more source

Artifact‐Minimizing Ultrathin Transparent Electrodes Fabricated via iCVD for In Vivo Optogenetic Stimulation and Neural Signal Monitoring of Primary Visual Cortex

open access: yesAdvanced Functional Materials, EarlyView.
We present ultrathin flexible transparent electrodes through iCVD‐enabled molecular control of 10 nm gold films on poly(dimethylaminomethylstyrene). In vivo validation demonstrated photoelectric artifact reduction vs. opaque electrodes and preservation of natural neural dynamics.
Tae Jin Mun   +11 more
wiley   +1 more source

Receptor‐Free Identification of Toxic Gases Enabled by Hygroscopic Aqueous Salt Films

open access: yesAdvanced Functional Materials, EarlyView.
Water as a gas sensor coating sounds impossible—until it stops evaporating. Here, hygroscopic salt solutions (LiCl, LiBr, H3PO4) form non‐drying aqueous films on CNT chemiresistors under ambient air. Gases partition into these liquid layers, sometimes transforming into water, and generate salt‐specific resistance fingerprints across a four‐channel ...
Seongwoo Lee   +5 more
wiley   +1 more source

Elucidating the Role of Surface Ligands on the Oxidative Etching of Au Bipyramids During Photothermia Using Liquid Cell Transmission Electron Microscopy

open access: yesAdvanced Functional Materials, EarlyView.
Gold bipyramids can act as efficient plasmonic nanoheaters, but they often reshape during laser heating. This study shows that oxygen nanobubbles drive oxidative etching and that surface ligands control stability. CTAB‐ and citrate‐coated particles blunt and lose optical performance, whereas polystyrene sulfonate preserves shape and heating by ...
Irene López‐Sicilia   +7 more
wiley   +1 more source

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