Fekete‐Szegö Functional for Bi‐univalent Functions Related with Gegenbauer Polynomials
In this paper, we introduce and investigate a new subclass of bi‐univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete‐Szegö type problem for this subclass which is obtained. We will also point out
Ibrar Ahmad +4 more
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Environmental Effects on RRAM Cells Based on 2D Halide Perovskite Materials
RRAM offers high speed, scalability, and low power, positioning it as a next‐generation non‐volatile memory. Two‐dimensional halide perovskites show promise due to tunable optoelectronic properties and flexible processing but suffer from environmental sensitivity. This review examines degradation from humidity, temperature, light, and strain, discusses
Mojtaba Joodaki +3 more
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ON SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS
In this study, we introduce and investigate two new subclasses of the biunivalent functions which both f (z) and f(-1) (z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients vertical bar a(m+1)vertical bar and vertical bar a(2m+1)vertical bar are found in this investigation.
Şeker, Bilal, Taymur, İdris
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Application of Einstein Function on Bi-Univalent Functions Defined on the Unit Disc
Motivated by q-calculus, we define a new family of Σ, which is the family of bi-univalent analytic functions in the open unit disc U that is related to the Einstein function E(z). We establish estimates for the first two Taylor–Maclaurin coefficients |a2|, |a3|, and the Fekete–Szegö inequality a3−μa22 for the functions that belong to these families.
Alaa H. El-Qadeem +2 more
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Trace water is acting as a constructive mediator in 2LiCl–GaF3, markedly increasing ionic conductivity while reorganizing local coordination. Hydration creates localized Li+ solvation environments and partially dissociates ion pairs, enhancing Li‐ion mobility.
Youngkyung Kim +10 more
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere +2 more
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Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients
A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions.
Ebrahim Analouei Adegani +3 more
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Second Hankel Determinant of Bi-univalent Functions
Let be the class of functions which are analytic in the open unit disk and having the form . Denote to be the class for all functions in that are univalent in . Then, let denote the class of bi-univalent functions in . In this paper, we obtain the second Hankel determinant for certain classes of analytic bi-univalent function which are defined by ...
Kiu Shu Huey +3 more
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Tracking Dynamic Sulfur Electrochemistry by Operando Techniques in Alkali Metal‐Sulfur Batteries
Dynamic sulfur electrochemistry in alkali metal‐sulfur batteries is tracked through operando spectroscopy, scattering, imaging, and modelling. This Review connects sulfur reaction pathways, polysulfide transport, electrolyte/interphase evolution, anode chemistry, and quantitative mechanistic analysis across Li‐S, Na‐S, and K‐S batteries, providing ...
Fangli Zhang +3 more
wiley +1 more source
Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator [PDF]
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

