Results 41 to 50 of about 18,622 (271)

A Similarity Invariant and the Commutant of some Multiplication Operators on the Sobolev Disk Algebra

International Journal of Mathematics and Mathematical Sciences, 2012
Let R(𝔻) be the algebra generated in Sobolev space W22(𝔻) by the rational functions with poles outside the unit disk 𝔻¯. In this paper, we study the similarity invariant of the multiplication operators Mg in ℒ(R(𝔻)), when g is univalent analytic on 𝔻 or ...
Ruifang Zhao
doaj   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

Convolutions of slanted half-plane harmonic mappings [PDF]

, 2012
Let ${\mathcal S^0}(H_{\gamma})$ denote the class of all univalent, harmonic, sense-preserving and normalized mappings $f$ of the unit disk $\ID$ onto the slanted half-plane $H_\gamma :=\{w:\,{\rm Re\,}(e^{i\gamma}w) >-1/2\}$ with an additional condition
Li, Liulan, Ponnusamy, S.
core  

Nonvanishing univalent functions [PDF]

Mathematische Zeitschrift, 1980
The class S of functions g(z) = z + c 2 z 2 + c 3 z 3 + ... analytic and univalent in the unit disk Izr < 1 has been thoroughly studied, and its properties are well known. Our purpose is to investigate another class of functions which, by contrast, seems to have been rather neglected. This is the class S o of functions f ( z ) = 1 + a 1 z + a 2 z Z + .
Duren, Peter L., Schober, Glenn
openaire   +2 more sources

Molecular‐Level Insights into Interfacial Adsorption Mechanisms of PFOA on Functional Dolomite Surfaces via AIMD and Spectroscopy

Advanced Materials Interfaces, EarlyView.
Perfluorooctanoic acid (PFOA), ab initio molecular dynamics (AIMD), density functional theory (DFT), Dolomite (DL), metal‐organic frameworks (MOFs), calcined modified dolomite (CDL), zero‐point of charge (PZC), metal‐organic frameworks (MOFs), Fourier transform infrared (FTIR), X‐ray diffraction (XRD), scanning electron microscopy (SEM ...
Yating Yang, Yuhan Li, Zhaohui Li, Hang Wei, Yaqi Wen, Po‐Hsiang Chang, Christopher Rensing, Ahmed I. Osman, Baoyu Kong   +8 more
wiley   +1 more source

Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator [PDF]

Sahand Communications in Mathematical Analysis, 2017
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We  estimate the coefficients $|a_{2} |$
Hamid Shojaei
doaj  

Scalable Layer‐by‐Layer Electrospray‐Assisted Interfacial Polymerization: Enabling Large‐Area Polyamide Membrane Fabrication

Advanced Materials Technologies, EarlyView.
We report a multi‐jet, layer‐by‐layer electrospray‐assisted interfacial polymerization (LBL‐EAIP) approach for the scalable fabrication of polyamide reverse osmosis (RO) membranes. The method enables precise control of polymerization, uniform polyamide coverage, and tunable polyamide film thickness, while delivering consistently high filtration ...
Yue Feng, Feng Gao, Mert Can Hacifazlioglu, Jason Zhao, Jeffrey R. McCutcheon, Yuepeng Zhang   +5 more
wiley   +1 more source

ZSL Orchestrates Synaptonemal Complex Assembly as a Central Region Scaffold to Ensure Synapsis Fidelity and Crossover Control in Polyploid Meiosis

Advanced Science, EarlyView.
A central molecular adaptor, ZSL, is identified that links transverse filaments ZYP1 to central element SCEP1/2 to drive synaptonemal complex assembly in Brassica napus. Loss of ZSL abolishes synaptonemal complex formation, disrupts meiotic chromosome segregation, and markedly increases crossovers, providing mechanistic insight into meiotic fidelity ...
Miaowei Geng, Shaochen Jia, Fei Cao, Cuiping Liu, Heshuang Zhang, Gang Xu, Jixin Zhuang, Yashi Zhang, Can Liu, Yuhang Zhao, Zilin Guo, Xinjie Yuan, Jiaqing Yang, Lei Chu, Bowei Cai, Hu Zhao, Chao Yang   +16 more
wiley   +1 more source

Simple proofs of certain inequalities with logarithmic coefficients of univalent functions

Researches in Mathematics
In this paper, we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent functions.
M. Obradović, N. Tuneski
doaj   +1 more source

On the definition of a close-to-convex function

International Journal of Mathematics and Mathematical Sciences, 1978
The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
doaj   +1 more source