Results 71 to 80 of about 656 (201)

Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials

Journal of Function Spaces, 2022
Making use of Horadam polynomials, we propose a special family of regular functions of the type gz=z+∑j=2∞djzj which are bi-univalent (or bi-schlicht) in the disc z∈ℂ ...
Amnah E. Shammaky, Basem Aref Frasin, Sondekola Rudra Swamy   +2 more
doaj   +1 more source

(p, q)-Lucas polynomials and their applications to bi-univalent functions

Proyecciones (Antofagasta), 2019
In the present paper, by using the Lp,q,n(x) functions, our methodology intertwine to yield the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined through the (p, q)-Lucas polynomials.
Şahsene Altınkaya, Sibel Yalçın
openaire   +4 more sources

Dual‐Function Electrocatalysis: Simultaneous Wastewater Remediation and Hydrogen Evolution—A Comprehensive Review

Carbon Energy, EarlyView.
Replacing the oxygen evolution reaction with the electro‐oxidation of pollutants and waste streams offers an energy‐efficient route for simultaneous hydrogen production and pollutant remediation. This review summarizes the reaction mechanisms, catalyst design principles, and emerging paired‐electrolysis strategies that govern activity, selectivity ...
Safa Al‐Yahyaey, Rashid Al‐Hajri, Ala'a H. Al‐Muhtaseb, Hussein A. Younus, Mohammed Al‐Abri   +4 more
wiley   +1 more source

On a New Class of Concave Bi-Univalent Functions Associated with Bounded Boundary Rotation

Mathematics
In this research article, we introduce a new subclass of concave bi-univalent functions associated with bounded boundary rotation defined on an open unit disk. For this new class, we make an attempt to find the first two initial coefficient bounds.
Prathviraj Sharma, Srikandan Sivasubramanian, Gangadharan Murugusundaramoorthy, Nak Eun Cho   +3 more
doaj   +1 more source

Coefficient Estimates for Certain Families of Analytic Functions Associated with Faber Polynomial

Journal of Function Spaces, 2023
In this paper, we use the Faber polynomial expansion to obtain bounds for the general coefficients an of bi-univalent functions in the family of analytic functions in the open unit disk.
Adel A. Attiya, Abeer M. Albalahi, Taher S. Hassan   +2 more
doaj   +1 more source

Coefficient Estimates for Subclasses of Bi-Univalent Functions

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2018
 In the present paper, we introduce two new subclasses of  the class consisting of analytic and bi-univalent functions in the open unit disk . Also, we obtain the estimates on the Taylor-Maclurin   coefficients and for functions in these subclasses. We obtain new special cases for our results.
Waggas Galib Atshan, Rajaa Ali Hiress
openaire   +2 more sources

Coupling Selective Organic Oxidation With Hydrogen Evolution Over Metal Halide Perovskite Photocatalysts: Halide‐Dependent Design, Mechanisms, and Stability Challenges

EcoEnergy, EarlyView.
This Review highlights how metal halide perovskites enable coupled selective organic oxidation and hydrogen evolution under visible light. It summarizes halide‐dependent design principles, surface engineering strategies, reaction mechanisms, and stability challenges, providing guidance for developing efficient and durable photocatalytic systems ...
Jutarat Jitrada, Lizhen Liu, Patchanita Thamyongkit, Yanfa Yan, Jun Huang   +4 more
wiley   +1 more source

Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers

Journal of Mathematics
This study defines three novel classes of bi-univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients a2 and a3 and Fekete–Szegö functional problems for functions ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, null Shyamsunder, Daya Lal Suthar   +4 more
doaj   +1 more source

A study of bi-univalent functions associated with the modified Tremblay operator and Horadam polynomials

Frontiers in Applied Mathematics and Statistics
Subclasses of bi-univalent functions defined by the modified Tremblay operator and the Horadam polynomial generating function are investigated. Motivated by recent developments in geometric function theory, two subclasses are introduced through suitable ...
M. Nivedha, N. Shobanadevi
doaj   +1 more source

Flexible Direct‐Conversion X‐Ray Detectors: From Emerging Materials to Conformal Imaging

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This comprehensive review analyzed the performance, challenges, and future directions of four emerging material systems for next‐generation flexible direct‐conversion X‐ray detectors: organic semiconductors, perovskites, metal–organic frameworks, and inorganic metal compounds.
Haipeng Di, Guoliang Ma, Jiaxin Mu, Kailian Dong, Haibin Li, Manjing Wang, Xin Song, Haojin Li, Jianwei Xu, Yiying Zhao, Jingjing Zhao, Guojia Fang   +11 more
wiley   +1 more source