Results 81 to 90 of about 75,857 (270)

The Relationship of Borel Distribution and Horadam Polynomials Leads to Analytical Bi-Univalent Functions

open access: yesEuropean Journal of Pure and Applied Mathematics
 The Borel distribution is a practical and applicable model for a wide range of real-world applications. Using the Borel distribution as a foundation, we create a novel subclass of analytic bi-univalent functions in this study. We employ these functions,
Omar Alnajar   +3 more
semanticscholar   +1 more source

Initial Coefficients Estimates and Fekete-Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

open access: yesAxioms, 2023
In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero-truncated Poisson distribution. For functions in the aforementioned class,
Mohamed Illafe   +3 more
semanticscholar   +1 more source

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Coefficient Estimates for Bi-Univalent Bazilevic Functions

open access: yesAnalysis in Theory and Applications, 2014
In this paper we consider the class of Bazilevic functions for bi-univalent functions. For this we will estimate the coefficients $a_2$ and $a_3$ using Caratheodory functions and the method of differential subordination.
openaire   +1 more source

Electrolyte Design Strategies for High‐Energy‐Density Li/Na/K‐Metal Batteries Toward Grid‐Scale Energy Storage: From Liquid to Solid

open access: yesENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This review summarizes key parameters including cathode loading and electrolyte consumption, clarifies the practical application scope of alkali metal batteries, and research progress on advanced electrolytes for grid‐scale energy storage systems. The growing demand for grid‐scale battery energy storage systems (BESSs) has prompted researchers to turn ...
Hui Shao, Zhiwei Ni, Jinkui Feng
wiley   +1 more source

Exploring Fekete-Szegő inequalities for an admissible class of bi-univalent functions involved Gegenbauer polynomials

open access: yesArab Journal of Basic and Applied Sciences
This paper presents a newly defined subclass of bi-univalent functions linked to the Genenbauer polynomial. The functions in this subclass satisfy specific subordination conditions within a symmetric domain inside the open unit disk.
Sa’ud Al-Sa’di   +4 more
doaj   +1 more source

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

open access: yesENERGY &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   +11 more
wiley   +1 more source

COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS

open access: yesПроблемы анализа, 2021
The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
doaj   +1 more source

Bi-univalent Function Subclasses Subordinate to Horadam Polynomials

open access: yesEarthline Journal of Mathematical Sciences, 2022
The object of this article is to explore two subclasses of regular and bi-univalent functions subordinate to Horadam polynomials in the disk $\{\varsigma\in\mathbb{C}:|\varsigma| <1\}$. We originate upper bounds for the initial Taylor-Maclaurin coefficient estimates of functions in these subclasses.
openaire   +1 more source

Horadam Polynomials Estimates for $lambda$-Pseudo-Starlike Bi-Univalent Functions

open access: yesIranian Journal of Mathematical Sciences and Informatics, 2022
Summary: In the present investigation, we use the Horadam Polynomials to establish upper bounds for the second and third coefficients of functions belongs to a new subclass of analytic and \(\lambda\)-pseudo-starlike bi-univalent functions defined in the open unit disk \(U\). Also, we discuss Fekete-Szegö problem for functions belongs to this subclass.
Hussein, Hammadi Alaa   +1 more
openaire   +2 more sources

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