Results 71 to 80 of about 10,555,595 (364)

On the asymptotic Bieberbach conjecture

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
The set S consists of complex functions f, univalent in the open unit disk, with f(0)=f'(0)-1=0. We use the asymptotic behavior of the positive semidefinite FitzGerald matrix to show that there is an absolute constant N0 such that, for any f(z)=z+?n ...
Mauriso Alves, Armando J. P. Cavalcante
doaj   +1 more source

On the logarithmic coefficients for some classes defined by subordination

open access: yesAIMS Mathematics, 2023
The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions. In this paper, due to the significant importance of the study of these coefficients, we find the upper bounds for some
Ebrahim Analouei Adegani   +4 more
doaj   +1 more source

Initial Coefficient Estimates and Fekete-Szegö Inequalities for New Families of Bi-Univalent Functions Governed by (p - q)-Wanas Operator

open access: yesSymmetry, 2021
The motivation of the present article is to define the (p−q)-Wanas operator in geometric function theory by the symmetric nature of quantum calculus. We also initiate and explore certain new families of holormorphic and bi-univalent functions AE(λ,σ,δ,s ...
A. Wanas, Luminiţa-Ioana Cotîrlǎ
semanticscholar   +1 more source

Emergence of Light‐Transforming Layered Hybrid Halide Perovskites

open access: yesAdvanced Functional Materials, EarlyView.
The emerging class of light‐transforming layered halide perovskite materials is reviewed, outlining challenges for their development and perspectives toward application in the future. Abstract Layered hybrid halide perovskites (LHPs) have attracted considerable attention in optoelectronics.
Ghewa AlSabeh, Jovana V. Milić
wiley   +1 more source

On the coefficient domains of univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
Coefficient domains for functions whose derivative has positive real part in the interior of an ellipse are given in this paper.
M. M. Elhosh
doaj   +1 more source

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

open access: yesAdvanced 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   +1 more
wiley   +1 more source

Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function

open access: yesمجلة بغداد للعلوم, 2023
            This paper is interested in certain  subclasses of univalent and bi-univalent functions concerning  to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
doaj   +1 more source

Convolutions of slanted half-plane harmonic mappings [PDF]

open access: yes, 2012
Let ${\mathcal S^0}(H_{\gamma})$ denote the class of all univalent, harmonic, sense-preserving and normalized mappings $f$ of the unit disk $\ID$ onto the slanted half-plane $H_\gamma :=\{w:\,{\rm Re\,}(e^{i\gamma}w) >-1/2\}$ with an additional condition
Li, Liulan, Ponnusamy, S.
core  

Programmable DNA‐Peptide Hybrid Nanostructures for Potent Neutralization of Multiple Influenza a Virus Subtypes

open access: yesAdvanced Functional Materials, EarlyView.
A multivalent antiviral platform based on honeycomb‐shaped DNA nanostructures (HC–Urumin) is developed to enhance the potency and breadth of the host defense peptide Urumin. Through spatially patterned trimeric presentation, HC–Urumin disrupts influenza A virus entry, improves cell viability, and reduces disease severity in vivo‐offering a modular and ...
Saurabh Umrao   +11 more
wiley   +1 more source

Simple proofs of certain inequalities with logarithmic coefficients of univalent functions

open access: yesResearches in Mathematics
In this paper, we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent functions.
M. Obradović, N. Tuneski
doaj   +1 more source

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