Results 81 to 90 of about 10,343,403 (331)

A new Steiner symmetrization defined by a subclass of analytic function in a complex domain

Frontiers in Applied Mathematics and Statistics
In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin.
Ibtehal Alazman, Rabha W. Ibrahim
doaj   +1 more source

Univalent Functions in the Möbius Invariant QK Space

Abstract and Applied Analysis, 2011
It is shown that a univalent function f belongs to QK if and only if sup a∈𝔻∫01M∞2(r,f∘φa-f(a))K′(log (1/r ...
Fernando Pérez-González, Jouni Rättyä   +1 more
doaj   +1 more source

On generalized fractional integral operator involving Fox's $H$-function and its applications to unified subclass of prestarlike functions with negative coefficients

Karpatsʹkì Matematičnì Publìkacìï, 2022
The aim of present paper is to find out different interesting properties and characterization of unified class $P_{\gamma}(A, B, \alpha,\sigma)$ of prestarlike functions with negative coefficients in the unit disc $U$.
D. Soybaş, S.B. Joshi, H.H. Pawar
doaj   +1 more source

Enhancing the Photocatalytic Performance of Carbon Nitrides Through Controlled Local Structure Modification

Advanced Functional Materials, EarlyView.
This work utilizes poly(heptazine imides) as a model system to demonstrate how fine‐tuning the crystal structure influences the photocatalytic properties of layered carbon nitrides in the hydrogen evolution reaction. In particular, the nature of rotational defects and the hydration shell of cations are key contributors to enhanced hydrogen evolution ...
Diana V. Piankova, Hannes Zschiesche, Alexander P. Tyutyunnik, Erik Svensson Grape, Caio Vinícius C. R. da Silva, Walber G. Guimarães Junior, Andre. F. de Moura, Izadora F. Reis, Gabriel Ali A. Diab, José Balena G. Filho, Ivo F. Teixeira, Nadezda V. Tarakina   +11 more
wiley   +1 more source

Radius problems for a subclass of close-to-convex univalent functions

International Journal of Mathematics and Mathematical Sciences, 1992
Let P[A,B], −1≤Bβ, 0 ...
Khalida Inayat Noor
doaj   +1 more source

Logarithmic Coefficient Bounds and Coefficient Conjectures for Classes Associated with Convex Functions

Journal of Function Spaces, 2021
It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi, Ebrahim Analouei Adegani, Teodor Bulboacă, Nak Eun Cho   +3 more
doaj   +1 more source

Ionic Control of Microstructure and Lubrication in Charged, Physically Cross‐Linked Hydrogels

Advanced Functional Materials, EarlyView.
Here, charged, physically cross‐linked poly(methacrylamide‐co‐methacrylic acid) hydrogels stabilized by a short‐range attractive, long‐range repulsive potential is investigated. This work uncovers how salt addition alters not only swelling, but also the microstructure and dynamics, near‐surface stiffness and charge, and ultimately, its lubricity. Salts
Alexander Deptula, Rosa M. Espinosa‐Marzal   +1 more
wiley   +1 more source

On Third Hankel Determinant for Certain Subclass of Bi-Univalent Functions

Symmetry
This study presents a subclass of bi-univalent functions within the open unit disk region . The objective of this class is to determine the bounds of the Hankel determinant of order 3, ().
Qasim Ali Shakir, W. Atshan
semanticscholar   +1 more source

Self‐Assembled Membranes for High Ion Selectivity and Proton Blocking in Electrochemical Applications

Advanced Functional Materials, EarlyView.
Phase‐separated alkyl poly(vinylimidazolium) membranes exhibit exceptional ionic conductivity, counter‐ion selectivity, and proton‐blocking ability by forming stable micro/macrophase‐separated domains. This design overcomes the conductivity–selectivity trade‐off in conventional ion‐exchange membranes (IEMs), offering a new paradigm for high‐performance
Min Gyu Shin, José C. Díaz, Jovan Kamcev   +2 more
wiley   +1 more source

Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator

Mathematics, 2020
Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z < 1 , which are bi-univalent in U , that is, both the function f and its inverse f − 1 are ...
I. Aldawish, T. Al-Hawary, B. Frasin
semanticscholar   +1 more source