Results 111 to 120 of about 90,034,892 (319)

Robertson’s conjecture on the coefficients of close-to-convex functions

, 1979
We use an inequality due to Lebedev and Milin to prove a conjecture made by M.S. Robertson on the coefficients of close-to-convex functions.
Y. Leung
core   +1 more source

Ferromagnetism of Molecular Beam Epitaxy‐grown Ultra‐thin Cr2Ge2Te6 Films Down to the Monolayer Limit on Si Substrates

Advanced Materials, EarlyView.
Uniform monolayer Cr2Ge2Te6 films are achieved on Si substrates by molecular beam epitaxy. Intrinsic ferromagnetism with perpendicular magnetic anisotropy is established in the films by anomalous Hall effect and superconducting quantum interference device measurements, albeit with strong magnetic fluctuations characteristic of its 2D nature.
Pengfei Ji, Ruixuan Liu, Tianchen Zhu, Yang Chen, Yitian Tong, Jinxuan Liang, Yunhe Bai, Yunyi Zang, Zuhan Geng, Fangting Chen, Xiyu Hong, Jiatong Zhang, Luyi Yang, Qi‐Kun Xue, Ke He, Xiao Feng   +15 more
wiley   +1 more source

On uniformly close-to-convex functions and uniformly . . .

, 2003
Two new subclasses of uniformly convex and uniformly close-to-convex functions are introduced.
T. V. Sudharsan, K. G. Subramanian, Herb Silverman   +2 more
core  

Current‐Induced Domain Wall Dynamics in Pt/Co/Ni/Co Nanoribbons With Curvilinear Cross‐Sections

Advanced Materials, EarlyView.
3D curvilinear magnetic racetrack nanoribbons are formed with concave and convex cross‐sections using an advanced multi‐photon 3D printer. The curvature is shown to strongly affect current‐induced domain wall motion along the nanoribbons. In nanoribbons with cross‐sections that have both concave and convex segments, the velocities of domain walls with ...
Tiange Dong, Jitul Deka, Chi Fang, André M. A. Farinha, Yicheng Guan, See‐Hun Yang, Stuart S. P. Parkin   +6 more
wiley   +1 more source

The Fekete-Szegö inequality for close-to-convex functions with respect to a certain starlike function dependent on a real parameter

, 2014
Given α∈[0,1], let gα(z):=z/(1−αz)2, z∈D:={z∈C:|z|0,z∈D. For the class C(gα) of all close-to-convex functions with respect to gα, the Fekete-Szegö problem is studied.MSC:30C45.
B. Kowalczyk, A. Lecko
semanticscholar   +1 more source

Achieving High Spatial Resolution Transmission Electron Microscopy Studies in Closed Liquid Cells

Advanced Materials, EarlyView.
Achieving high spatial resolution is important for resolving nanoscale dynamic processes and structural transformations in liquid environments, yet remains challenging in liquid cell transmission electron microscopy (LCTEM). This review highlights key strategies, including mitigating membrane bulging, displacing or redistributing local liquid ...
Siqi Guo, Hongyu Sun, Le Shu, Xuejin Ge, Raquel Aymerich‐Armengol, Siyuan Zhang, Long Ren, Ningyan Cheng, Christina Scheu, Binghui Ge   +9 more
wiley   +1 more source

Close-to-convexity and Starlikeness of Analytic Functions

Tamkang Journal of Mathematics, 2015
For functions $f(z)=z^p+a_{n+1}z^{p+1}+\cdots$ defined on the open unit disk, the condition $RE (f'(z)/z^{p-1})>0$ is sufficient for close-to-convexity of $f$. By making use of this result, several sufficient conditions for close-to-convexity are investigated and relevant connections with previously known results are indicated.
Lee, See Keong, Ravichandran, V., Supramaniam, Shamani   +2 more
openaire   +3 more sources

Extreme points of subclasses of close-to-convex functions

, 1979
We determine coefficient bounds, distortion and covering theorems, and the extreme points for various subclasses of close-to-convex functions. All results are sharp.
D. N. Telage, H. Silverman
core   +1 more source

A Thermoreversible Gelation Pathway to Plant Cuticle‐Inspired Biopolymer Aerogel Monoliths Based on Network‐Spherulitic Crystal Assemblies

Advanced Materials, EarlyView.
To address functionality limitations in plant‐based and industrially compostable polymer aerogels, this work introduces bio‐inspired aerogels with broadened functionality. Inspired by functional plant tissues, lightweight biopolymer aerogels based on exclusively stereocomplex crystals are fabricated, featuring hierarchically macro‐/meso‐porous ...
Anthony V. Tuccitto, Zeineb Ben Rejeb, Rafaela Aguiar, Nello D. Sansone, Sumaiya Farzana, Isaac Ali, Jun Uk Lee, Daniel J. Davidson, Ailsa K. Edward, Chul B. Park, Patrick C. Lee   +10 more
wiley   +1 more source

ABOUT SOME SUBCLASSES OF CLASSES OF CLOSE-TO-CONVEX AND DOUBLY CLOSE-TO-CONVEX FUNCTIONS

Herald of the Kazakh-British Technical University
It is known that the class  close-to-convex functions is defined by the condition of positivity of the functional  with a starlike function . Replacing the starlike function  with a convex one leads to a known subclass  of the class . In this article, we introduce a generalization of the class  to the case when the set of values  is contained in a ...
F. F. Maiyer, M. G. Tastanov, A. A. Utemissova, B. A. Kalakov   +3 more
openaire   +1 more source