Results 41 to 50 of about 22,022 (323)

Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2017
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  

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  

Synthesis and Electronic Structure of the Fractionally Occupied Double Perovskite EuTa2O6 with Ordered Europium Vacancies

open access: yesAdvanced Functional Materials, EarlyView.
Two‐dimensional electronic states are the foundation of modern semiconductor technology. Here, we report molecular‐beam epitaxy growth of fractional double perovskite, EuTa2O6. Reciprocal space mapping and transmission electron microscopy confirm a layered ordering of A‐site cations.
Tobias Schwaigert   +15 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

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

At‐Home Early Diagnosis of Mastitis: Calibration‐Free Analysis of Sodium to Potassium Ratio in Breast Milk

open access: yesAdvanced Functional Materials, EarlyView.
MAMAWEL is introduced as the first calibration‐free potentiometric sensor for at‐home mastitis diagnosis. By measuring the sodium‐to‐potassium ratio in breast milk, the device reliably differentiates between healthy and mastitis‐affected samples with less than 10% error.
Ali Soleimani   +9 more
wiley   +1 more source

Nonvanishing univalent functions [PDF]

open access: yesMathematische Zeitschrift, 1980
The class S of functions g(z) = z + c 2 z 2 + c 3 z 3 + ... analytic and univalent in the unit disk Izr < 1 has been thoroughly studied, and its properties are well known. Our purpose is to investigate another class of functions which, by contrast, seems to have been rather neglected. This is the class S o of functions f ( z ) = 1 + a 1 z + a 2 z Z + .
Duren, Peter L., Schober, Glenn
openaire   +2 more sources

A Similarity Invariant and the Commutant of some Multiplication Operators on the Sobolev Disk Algebra

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
Let R(𝔻) be the algebra generated in Sobolev space W22(𝔻) by the rational functions with poles outside the unit disk 𝔻¯. In this paper, we study the similarity invariant of the multiplication operators Mg in ℒ(R(𝔻)), when g is univalent analytic on 𝔻 or ...
Ruifang Zhao
doaj   +1 more source

Harnessing Non‐Covalent Protein–Protein Interaction Domains for Production of Biocatalytic Materials Systems

open access: yesAdvanced Functional Materials, EarlyView.
Non‐covalent protein–protein interactions mediated by SH3, PDZ, or GBD domains enable the self‐assembly of stable and biocatalytically active hydrogel materials. These soft materials can be processed into monodisperse foams that, once dried, exhibit enhanced mechanical stability and activity and are easily integrated into microstructured flow ...
Julian S. Hertel   +5 more
wiley   +1 more source

Geometric Properties of Partial Sums of Univalent Functions [PDF]

open access: yes, 2012
The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
core  

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