Results 51 to 60 of about 9,289 (253)

Monotonicity and inequalities for the gamma function

Journal of Inequalities and Applications, 2017
In this paper, by using the monotonicity rule for the ratio of two Laplace transforms, we prove that the function x ↦ 1 24 x ( ln Γ ( x + 1 / 2 ) − x ln x + x − ln 2 π ) + 1 − 120 7 x 2 $$ x\mapsto \frac{1}{24x ( \ln \Gamma ( x+1/2 ) -x\ln x+x- \ln \sqrt{
Zhen-Hang Yang, Jing-Feng Tian
doaj   +1 more source

On some complete monotonic functions

, 2022
Motivated by open questions in the papers " Refinements and sharpenings of some double inequalities for bounding the gamma function" and "Complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function",we confirm among other results and disprove other one.
openaire   +2 more sources

Direct Metal Deposition of Graphene–Ti28Nb35.4Zr Matrix Composites With Enhanced Mechanical, Corrosion, and Biocompatibility Properties for Bone Implants

Advanced Engineering Materials, EarlyView.
Graphene nanoplatelet (0.1 wt.%) reinforcement significantly enhances the performance of β Ti‐28Nb‐35.4Zr alloy. Grain refinement, reduced water contact angle, and improved surface characteristics promote osteoblast adhesion and complete surface coverage after 7 days.
Khurram Munir, Jixing Lin, Yuncang Li, Li Zhu, Paul F. A. Wright, Cuie Wen   +5 more
wiley   +1 more source

Understanding and Optimizing Li Substitution in P2‐Type Sodium Layered Oxides for Sodium‐Ion Batteries

Advanced Functional Materials, EarlyView.
This work explores Li‐substituted P2 layered oxides for Na‐ion batteries by crystallographic and electrochemical studies. The effect of lithium on superstructure orderings, on phase transitions during synthesis and electrochemical cycling and on the interplay of O‐ versus TM‐redox is revealed via various advanced techniques, including semi‐simultaneous 
Mingfeng Xu, Giovanni Gammaitoni, Michael Häfner, Eduardo Villalobos‐Portillo, Carlo Marini, Matteo Bianchini   +5 more
wiley   +1 more source

Logarithmically completely monotonic functions involving the Generalized Gamma Function

Le Matematiche, 2010
By a simple approach, two classes of functions involving generalization Euler's gamma function and originating from certain  problems of traffic flow are proved to be logarithmically  completely monotonic and a class of functions involving the psi ...
Faton Merovci, Valmir Krasniqi
doaj  

Stretching the Printability Metric in Direct‐Ink Writing with Highly Extensible Yield‐Stress Fluids

Advanced Functional Materials, EarlyView.
This study introduces “drawability” as a new metric for assessing printability in direct‐ink writing, focusing on gap‐spanning performance and speed robustness. By designing yield‐stress fluids with high extensibility, we demonstrate that extensional strain‐to‐break significantly enhances printability.
Chaimongkol Saengow, Samya Sen, Joaquin Yus, Eliza E. Lovrich, Amanda G. Hoika, Kelly M. Chang, Arielle A. Pfeil, Nellie Haug, Amy J. Wagoner Johnson, Randy H. Ewoldt   +9 more
wiley   +1 more source

A completely monotonic function involving the gamma and trigamma functions

Kuwait Journal of Science, 2016
In the paper the author provides necessary and sufficient conditions on $a$ for the function\begin{equation*}\frac{1}{2}\ln(2\pi)-x+\biggl(x-\frac{1}{2}\biggr)\ln x-\ln\Gamma(x)+\frac1{12}{\psi'(x+a)}\end{equation*}and its negative to be completely ...
Feng Qi
doaj  

3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries

Advanced Functional Materials, EarlyView.
Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling, Haoran Wang, Pan Yang, Rishav Agrawal, Alex R. Neale, Laurence J. Hardwick, Tom Hasell, Esther García‐Tuñón   +7 more
wiley   +1 more source

Scalable Polyelectrolyte Complex‐Based Sorbent With Hourly Sorption−Desorption Cycles for Multicyclic Atmospheric Water Harvesting in Arid Environments

Advanced Functional Materials, EarlyView.
A polyelectrolyte complex‐based sorbent is produced by scalable, environmentally benign aqueous phase inversion. Its porous, LiCl‐ and GO‐integrated architecture enables hourly adsorption−desorption cycles at low relative humidity (RH < 30%). A large‐scale prototype achieves multicyclic, solar‐driven atmospheric water harvesting of 1.37 L kg−1 day−1 ...
Seung‐Hwan Oh, Incheol Heo, Won Cheol Yoo, Soo‐Hyung Choi   +3 more
wiley   +1 more source

Dual‐Layer Living Hydrogel Enables On‐Demand Delivery of Phages and Probiotics for Synergistic Wound Infection Therapy

Advanced Functional Materials, EarlyView.
A dual‐layer living hydrogel, ProΦGel, integrates bacteriophages and probiotics for synergistic wound infection therapy. The outer gelatin‐based matrix releases phages on demand in response to P. aeruginosa infections, while inner alginate beads sustain probiotic delivery.
Siyuan Tao, Darine D'Adam, Anna Hu, Sixuan Zhang, Josua Roduner, Katharina Maniura‐Weber, Qun Ren   +6 more
wiley   +1 more source