Results 101 to 110 of about 4,451,088 (304)

On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function

Journal of Mathematics, 2021
In this paper, we presented two completely monotonic functions involving the generalized k−gamma function Γkx and its logarithmic derivative ψkx, and established some upper and lower bounds for Γkx in terms of ψkx.
Hesham Moustafa, Hanan Almuashi, Mansour Mahmoud   +2 more
doaj   +1 more source

Modular Equations and Distortion Functions

, 2007
Modular equations occur in number theory, but it is less known that such equations also occur in the study of deformation properties of quasiconformal mappings.
B.C. Berndt, B.C. Berndt, C.-Q. He, D. Partyka, D. Partyka, E.T. Whittaker, F. Bowman, G. D. Anderson, G. Martin, G.D. Anderson, G.D. Anderson, G.D. Anderson, G.D. Anderson, G.D. Anderson, J. Hempel, J. Hersch, J. Jenkins, J. Väisälä, J. Väisälä, J. Zaja̧c, J.M. Borwein, M. Vuorinen, M. Vuorinen, M. Vuorinen, M.K. Vamanamurthy, O. Lehto, O. Lehto, P. Seittenranta, P. Tukia, P.F. Byrd, P.P. Belinskii, S. Agard, S. Agard, S. Yamashita, S. Zhang, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, W.K. Hayman, W.K. Hayman, Z. Li   +45 more
core   +2 more sources

Nanodiamond‐Infused Microgels for pH‐Tunable Rheology, Lubrication, and UV Protection

Advanced Functional Materials, EarlyView.
Microgels consisting of swollen polyacrylic acid polymer networks, impregnated with nanodiamonds provide protection from ultraviolet (UV) radiation harmful to human health. Nanodiamonds enable UV blockage and control of the rheology (flow) and lubrication (skin‐feel) of these microgel‐skincare‐mimics.
Pallav K. Jani, Sarvesh A. Nadkarni, Katherine J. Ernst, Barbara V. Farias, Chloe G. Hincher, Oluwatobi A. Ojuade, Yug C. Saraswat, Prottasha Sarker, Donald O. Freytes, Lilian C. Hsiao, Saad A. Khan   +10 more
wiley   +1 more source

Transforming Cellulose Into Functional Three‐Dimensional Structures

Advanced Functional Materials, EarlyView.
Cellulose is promising for replacing synthetic polymers due to its excellent mechanical properties and low cost. This review highlights the recent advancements in transforming cellulose into functional 3D structures, including liquid gels and porous materials.
Xia Sun, Hao Sun, Penghui Zhu, Yonggang Wu, Anna Palmer, Feng Jiang   +5 more
wiley   +1 more source

Synchronization of a Kuramoto-like model for power grids with frustration

Networks and Heterogeneous Media, 2020
We discuss the complete synchronization for a Kuramoto-like model for power grids with frustration. For identical oscillators without frustration, it will converge to complete phase and frequency synchronization exponentially fast if the initial phases ...
Xiaoxue Zhao, Zhuchun Li
doaj   +1 more source

Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers

, 2016
In the paper, the author finds the logarithmically complete monotonicity of the Catalan–Qi function related to the Catalan numbers.
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar   +1 more source

Non Thermal‐Driven Photocatalytic Ammonia Decomposition at Near‐Room Temperature on a Plasmonic Nanocone Array

Advanced Functional Materials, EarlyView.
Plasmonic photocatalytic ammonia decomposition occurs at near‐room temperature on a plasmonic Au nanocone array under visible light illumination. The nanostructure efficiently harnesses plasmonic modes, leading to increased reaction rates upon plasmon decay.
Thanh‐Lam Bui, S. M. Hossein Hejazi, Jan Navrátil, Hana Kmentová, Petr Bábor, Olivier Henrotte, Luca Mascaretti, Matteo Bisetto, Stephen K. Sanders, Andrea Schirato, Michal Otyepka, Piotr Błoński, Tiziano Montini, Radek Zboril, Paolo Fornasiero, Alessandro Alabastri, Alberto Naldoni, Stepan Kment   +17 more
wiley   +1 more source

Iterated logarithms and gradient flows

, 2018
We consider applications of the theory of balanced weight filtrations and iterated logarithms, initiated in arXiv:1706.01073, to PDEs. The main result is a complete description of the asymptotics of the Yang--Mills flow on the space of metrics on a ...
Haiden, Fabian, Katzarkov, Ludmil, Kontsevich, Maxim, Pandit, Pranav   +3 more
core   +1 more source

Formation of 2D Electron Gas at a Non‐Polar Perovskite Oxide Interface: SrHfO3/BaSnO3

Advanced Functional Materials, EarlyView.
Through experiments and Poisson‐Schrödinger simulations, 2D electron gas formed at the non‐polar SrHfO3/BaSnO3 interface is observed. A large conduction band offset enables modulation doping by the intrinsic deep donors in SrHfO3, resulting in carrier confinement in BaSnO3 without relying on interfacial polarization or termination‐layer engineering ...
Jongkyoung Ko, Oliver Bierwagen, Wonwoo Suh, Jeewon B. Choi, Celesta S. Chang, Kookrin Char   +5 more
wiley   +1 more source

A complete monotonicity property of the gamma function

Journal of Mathematical Analysis and Applications, 2004
A real valued \(C^{\infty}\) function \(f\) is strictly completely monotonic on an interval \(I\) if \((-1)^k f^{(k)}(x)>0\) for all \(x\in I,\, k\in \mathbb{N}\). For the gamma function the result is offered that \(x\mapsto 1-\ln x+(\ln \Gamma(x+1))/x\) is strictly completely monotonic on \(]0,\infty[\) and its limits at \(0\) and \(\infty\) are ...
Feng Qi, Chao-Ping Chen
openaire   +3 more sources