Results 71 to 80 of about 21,597 (254)

On the logarithmic coefficients of close to convex functions [PDF]

Proceedings of the American Mathematical Society, 2015
For $f$ analytic and close to convex in $D=\{z: |z|< 1\}$, we give sharp estimates for the logarithmic coefficients $γ_{n}$ of $f$ defined by $\log \dfrac{f(z)}{z}=2\sum_{n=1}^{\infty} γ_{n}z^{n}$ when $n=1, 2,3$.
openaire   +3 more sources

Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials

Advanced Materials, EarlyView.
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella, Kobra Azizi, Dirk M. Guldi, Tomás Torres   +3 more
wiley   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 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

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 subclasses of close-to-convex functions of higher order

International Journal of Mathematics and Mathematical Sciences, 1992
The classes Tk(ρ), 0 ...
Khalida Inayat Noor
doaj   +1 more source

Space‐Time Coding Conformal Metasurfaces for Multifrequency Beam Steering and Shaping

Advanced Materials, EarlyView.
Space‐time coding conformal metasurfaces enable dynamic wave control on curved surfaces by combining programmable spatial patterns with temporal modulation. This study shows that a single conformal aperture can independently manipulate multiple frequency components, achieving multifunctional beam shaping and steering, with implications for ...
Filippo Pepe, Lei Zhang, Yi Ning Zheng, Xiao Qing Chen, Ivan Iudice, Giuseppe Castaldi, Marco Di Renzo, Tie Jun Cui, Vincenzo Galdi   +8 more
wiley   +1 more source

On close-to-convex functions

On close-to-convex functions
We consider a new subclass $\widetilde{\mathcal{K}}_u$ of close-to-convex functions in the unit disk $\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$. For this class, we obtain sharp estimates of the Fekete-Szegö problem, growth and distortion theorem, radius of convexity and estimate of the pre-Schwarzian norm.
openaire   +3 more sources

Field‐Programmed Anisotropy in Magneto‐Piezoelectric Composites for Material‐Encoded Mechanoperception

Advanced Materials, EarlyView.
Field‐programmed anisotropy imparts material‐level intelligence to soft composites. Magnetic torque dynamics drive magneto‐piezoelectric nanowires from random dispersion into deterministic axial alignment. The resulting hierarchical percolation networks confine electromechanical coupling to specific axes and intrinsically decouple superposed force ...
Yubin Kim, Yumin Kwon, Dabin Kim, Minsun Oh, Jin Young Jung, Dongyeong Gim, Kootak Hong, Jun Yeon Hwang, Sang‐Woo Kim, Minjeong Ha   +9 more
wiley   +1 more source

A note on certain subclass of close-to-convex functions

International Journal of Mathematics and Mathematical Sciences, 1988
The object of the present paper is to show a result for functions belonging to class P′(1−α,0) which is a subclass of close-to-convex functions in the unit disk U.
Shigeyoshi Owa, Liu Liquan, Wancang Ma
doaj   +1 more source