Results 71 to 80 of about 23,614 (326)

Univalent functions with univalent Gelfond-Leontev derivatives [PDF]

Bulletin of the Australian Mathematical Society, 1984
Let be a nondecreasing sequence of positive numbers. We consider Gelfond-Leontev derivative Df(z), of a function , defined by for univalence and growth properties, and extend some results of Shah and Trimble. Set en = {d1d2 … dn), n≥l, e0 = 1, . Let r be the radius of convergence of p(z). We state parts of Theorem 1 and Corollaries. Let f and all Dkf,
Juneja, O. P., Shah, S. M.
openaire   +1 more source

Heterogeneity‐Guided Interlayer Tuning in Vermiculite‐MOF Membranes for Efficient Li+/Mg2+ Separation

Advanced Science, EarlyView.
Heterogeneity‐guided interlayer engineering is achieved by integrating porous MOF nanosheets into a 2D vermiculite laminate, reprogramming ion transport pathways. The resulting hybrid membranes combine sub‐nanoconfinement and charge heterogeneity, enabling accelerated Li+ transport and reinforced Mg2+ exclusion.
Liheng Dai, Kecheng Guan, Mengyang Hu, Erda Deng, Pengfei Zhang, Zhan Li, Yongxuan Shi, Xiao Xu, Xueru Yan, Hideto Matsuyama   +9 more
wiley   +1 more source

In Situ Electrochemical Activation of Pseudo‐Layered NbS3 via Interlayer Expansion and Dual Redox for High Mg‐Ion Storage

Advanced Science, EarlyView.
A quasi‐1D pseudo‐layered NbS3 cathode for magnesium‐ion batteries can be created through electrochemically induced interlayer expansion. The widened ion‐transport channels enable fast magnesium ion diffusion and unlock coupled cationic‐anionic redox chemistry.
Pengcheng Jing, Atsushi Inoishi, Chengcheng Zhao, Eiichi Kobayashi, Peng Ren, Isaac Abrahams, Duncan H. Gregory   +6 more
wiley   +1 more source

Room‐Temperature Gas‐Phase CO2‐to‐C3 Coupling by a 4f‐Aromatic Cluster

Angewandte Chemie, EarlyView.
We engineered a 4f metalla aromatic cluster, PrB2C2−, that enables efficient sequential C−C coupling with CO2 at room temperature, yielding a linear C3 backbone. This system provides a complete theoretical catalytic cycle and establishes a new design principle for lanthanide mediated CO2 activation.
Feng‐Xiang Zhang, Xiao‐Wang Li, Ning‐Zheng Li, Sheng‐Gui He, Yu‐Chen Zhang, Li‐Li Xing, Donald G. Truhlar, Jia‐Bi Ma   +7 more
wiley   +2 more sources

Asymptotic Conformality and Polygonal Approximation

Axioms
Univalent functions with asymptotically conformal extension to the boundary form a subclass of functions with quasiconformal extension with rather special features.
Samuel L. Krushkal
doaj   +1 more source

Engineering a Virus‐Derived X Family DNA Polymerase FvPolX for de novo DNA Synthesis

Advanced Science, EarlyView.
In this study, a Faustovirus‐derived polymerase (FvPolX) is engineered based on structural and sequence analysis of PolX enzymes. The optimal mutants demonstrate substantially enhanced catalytic activity toward dNTPs and 3′‐ONH2‐dNTPs compared to the wild‐type enzyme.
Chengjie Zhang, Lei Du, Shengying Li
wiley   +1 more source

On Convex Univalent Functions with Convex Univalent Derivatives

Rocky Mountain Journal of Mathematics, 2005
The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
openaire   +3 more sources

Unraveling the Synergistic Activity‐Stability Enhancement of a High‐Entropy Perovskite Air Electrode for Dual Ceramic Electrochemical Cells

Advanced Science, EarlyView.
A high‐entropy air electrode material, Gd0.2Pr0.2Ba0.2Sr0.2Ca0.2FeO3−δ (GPBSCF), is developed for both solid oxide fuel cells and reversible protonic ceramic cells. Its enhanced activity stems from increased oxygen vacancies/holes. The stability improvement is attributed to lattice distortion, while thermal expansion reduction is synergistically due to
Ying Zhang, Yibei Wang, Zhilin Liu, Kuo Hu, Yaowen Wang, Zhen Wang, Xiyang Wang, Bingbing Niu, Wenquan Wang, Tianmin He   +9 more
wiley   +1 more source

Certain Aspects of Univalent Function with Negative Coefficients Defined by Bessel Function

Brazilian Archives of Biology and Technology
Key words: In recent years, applications of Bessel functions have been effectively used in the modelling of chemical engineering processes and theory of univalent functions.In this paper, we study a new class of analytic and univalent functions with ...
Chellakutti Ramachandran, Kaliyaperumal Dhanalakshmi, Lakshminarayanan Vanitha   +2 more
doaj   +1 more source

Univalent functions and nonanalytic curves [PDF]

Proceedings of the American Mathematical Society, 1957
The two examples z+ (1 +e)z2/2 and z+(1 +e)z2/4 with e>0, show that the right sides of (2) and (3) cannot be increased without destroying respectively the starlikeness and convexity of the image regions. This theorem was first discovered by Alexander [I], but according to Remak [6], Alexander's proof contains an error.
openaire   +2 more sources