Results 51 to 60 of about 32,526 (223)

Coefficient estimates for a certain subclass of bi-univalent functions

Le Matematiche, 2016
Summary: In the present investigation, we find estimates on the coefficients \(|a_2|\) and \(|a_3|\) for functions in the function class \(S_\Sigma(\lambda,h)\). The results presented in this paper improve or generalize the recent work of \textit{N. Magesh} and \textit{J. Yamini} [Int. Math. Forum 8, No. 25--28, 1337--1344 (2013; Zbl 1283.30030)].
Yalcin, Sibel, Altınkaya, Şahsene
openaire   +2 more sources

Subclass of bi-univalent function associated to Chebyshev polynomial

, 2022
The Chebyshev polynomials are utilized in this study to define the subclass of the bi-univalent function. Also, Chebyshev polynomial bounds and Fekete-Szego inequalities for functions defined in the classes are established.Comment: 7 ...
Birajdar, G. M., Sangle, N. D.
core  

Initial Coefficient Behavior of Bi-Univalent Functions Defined Through Bernoulli Polynomial Subordination

Mathematics
The study of coefficient problems for bi-univalent functions continues to play a central role in geometric function theory due to its analytical depth and wide range of applications.
Mohamed Illafe, Abdulmtalb Hussen, Feras Yousef   +2 more
doaj   +1 more source

Certain New Subclassess of Analytic and Bi-univalent Functions

International Journal of Analysis and Applications, 2023
The paper presents two novel subclasses of the function class Σ, which consists of bi-univalent functions defined in the open unit disk D={ζ:|ζ|
C. R. Krishna, A. C. Chandrashekar, N. Ravikumar   +2 more
doaj   +1 more source

On a coefficient problem for bi-univalent functions [PDF]

Proceedings of the American Mathematical Society, 1967
The function f(z) will be called bi-univalent if both f(z) and f-'(z) are univalent in I zI < 1; f(z) will be said to belong to oiff (i) f(z) CS and (ii) there exists a function g(z) ES such that f(g(z)) =g(f(z)) = z in some neighborhood of the origin. Z. Nehari remarked1 that if 4(Z) =4lz+02z2+ ...
openaire   +1 more source

Dynamic Interfacial Chemistry of Choline Chloride as Electrolyte Additive for Stable Zn‐Iodine Batteries

Advanced Functional Materials, EarlyView.
Choline chloride (ChCl) additive enables dynamic interface engineering in Zn‐I2 batteries by forming hydrophobic polyiodide complexes and a Zn‐stabilizing Ch+‐rich layer under electric field modulation. This dual‐function strategy suppresses iodine hydrolysis and dendrite formation, while optimizing Zn2+ solvation and transport for high‐efficiency ...
Xiaoyu Bi, Yuchuan Ren, Ao Yu, Linlin Yang, Ren He, Yapeng Cheng, Xingqi Chang, Xuan Lu, Yanting Xie, Qian Xue, Hu Yuan, Canhuang Li, Runzhou Huang, Jordi Jacas Biendicho, Chaoqi Zhang, Jian Shang, Andreu Cabot   +16 more
wiley   +1 more source

New Subclasses of Bi-Univalent Functions Associated with Exponential Functions and Fibonacci Numbers

مجلة بغداد للعلوم
Lewin discussed the class  of bi-univalent functions and obtained the bound for the second coefficient, Sakar and Wanas defined two new subclasses of bi-univalent functions and obtained upper bounds for the elementary coefficients |a2| and |a3| for ...
Majd Ayash, Hassan Baddour, Mohammad Ali, Abbas Kareem Wanas   +3 more
doaj   +1 more source

Development of Novel Subclasses for Bi-Univalent Functions

ASM Science Journal, 2021
This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator. The functions contained in the subclasses were used to account for the initial coefficient estimates of |a2| and |a3| .
MUNIRAH ROSSDY, RASHIDAH OMAR, SHAHARUDDIN CIK SOH   +2 more
openaire   +3 more sources

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

Xenes for Sustainable Energy: A Roadmap From First‐Principles Design to Practical Deployment

Advanced Materials Interfaces, EarlyView.
Emerging 2D Xenes are advancing from theoretical predictions toward practical energy‐storage and conversion technologies through the integration of first‐principles modelling, experimental synthesis, electrochemical validation, and AI‐assisted materials design, enabling accelerated discovery of high‐performance and sustainable electrochemical systems ...
Onur Karaman, Ceren Karaman
wiley   +1 more source