Results 51 to 60 of about 1,015 (194)

ON SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS

, 2021
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
openaire   +3 more sources

Oxygen‐Driven Structural Reorganization by Trace Water Enabling Fast Li‐Ion Transport in a Pliable Solid Electrolyte

Advanced Energy Materials, EarlyView.
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, Jae‐Seung Kim, Kwang Ho Shin, Jingyu Choi, Beom Jin Park, Jinyeong Choe, Jiwon Seo, Chanhyun Park, Jeongjae Lee, Dong‐Hwa Seo, Sung‐Kyun Jung   +10 more
wiley   +1 more source

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

Arab 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, Ibrar Ahmad, Muge Sakar, Saqib Hussain, Saima Noor   +4 more
doaj   +1 more source

Tracking Dynamic Sulfur Electrochemistry by Operando Techniques in Alkali Metal‐Sulfur Batteries

Advanced Energy Materials, EarlyView.
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, Meixuan Niu, Junya Huang, Dawei Su   +3 more
wiley   +1 more source

Novel Bi-Univalent Subclasses Generated by the q-Analogue of the Ruscheweyh Operator and Hermite Polynomials

Mathematics
This work introduces new bi-univalent function classes defined using the fractional q-Ruscheweyh operator and characterized by subordination to q-Hermite polynomials.
Feras Yousef, Tariq Al-Hawary, Mohammad El-Ityan, Ibtisam Aldawish   +3 more
doaj   +1 more source

Euler Polynomials and Bi-univalent Functions

European Journal of Pure and Applied Mathematics
Our research introduces new subclasses of analytical functions that are defined by Euler polynomials. We then proceed to estimate the Fekete-Szego functional problem and the Maclaurin coefficients for this specific subfamily, denoted as |a2| and |a3|. Furthermore, we demonstrate several new results that emerge when we specialize the parameters used in ...
Ala Amourah, Dunia Jarwan, Jamal Salah, M. J. Mohammed, S. A. Meqdad, Nidal Anakira   +5 more
openaire   +1 more source

Second Hankel Determinant of Bi-univalent Functions

Malaysian Journal of Fundamental and Applied Sciences, 2023
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, Aini Janteng, Jaludin Janteng, Andy Liew Pik Hern   +3 more
openaire   +1 more source

Prediction‐Guided Two‐Step Solid‐State Exploration of Unknown Pseudo‐Ternary Oxides

Advanced Intelligent Discovery, EarlyView.
Prediction‐guided selection combined with two‐step solid‐state exploration enables efficient search of unknown pseudo‐ternary oxides. Broad robotic slurry screening followed by manual single‐phase isolation leads to the discovery of a new oxide, Ba5SnV6O22, showing how data‐guided experiments connect unexplored composition regions to new materials ...
Hiroyuki Hayashi
wiley   +1 more source

Coefficient Estimates for a Subclass of Bi-Univalent Functions Defined by q-Derivative Operator

Mathematics, 2020
Recently, a number of features and properties of interest for a range of bi-univalent and univalent analytic functions have been explored through systematic study, e.g., coefficient inequalities and coefficient bounds. This study examines S q δ
Suhila Elhaddad, Maslina Darus
doaj   +1 more source

New classes of analytic and bi-univalent functions

AIMS Mathematics, 2021
<abstract><p>Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.</p></abstract>
openaire   +2 more sources