Results 71 to 80 of about 3,259,279 (281)

Some Results on Composition of Analytic Functions in a Unit Polydisc

open access: yesUniversal Journal of Mathematics and Applications
The manuscript is an attempt to consider all methods which are applicable to investigation a directional index for composition of an analytic function in some domain and an entire function.
Petro Kurliak   +2 more
doaj   +1 more source

On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables

open access: yesAbstract and Applied Analysis, 2014
Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result maxf∈S⁡a3-λa22=1+2e-2λ/(1-λ) for λ∈0, 1.
Qing-Hua Xu, Tai-Shun Liu
doaj   +1 more source

A modified method for separating variables in the diffraction problem of TM-polarized wave on diffraction grating

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of the work is to study the diffraction of a TM–polarized electromagnetic wave on diffraction gratings with several strokes on the period. Materials and methods.
Yuriy G. Smirnov
doaj   +1 more source

Peptide‐based ligand antagonists block a Vibrio cholerae adhesin

open access: yesFEBS Letters, EarlyView.
The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang   +9 more
wiley   +1 more source

Composition of entire function and analytic functions in the unit ball with a vanished gradient

open access: yesМатематичні Студії
The composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj   +1 more source

Interplay between circadian and other transcription factors—Implications for cycling transcriptome reprogramming

open access: yesFEBS Letters, EarlyView.
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley   +1 more source

Growth of entire solutions of singular initial-value problem in several complex variables

open access: yesElectronic Journal of Differential Equations, 2012
In this article, we characterize the order, type, lower order, and lower type of entire function solutions to a class of singular initial-value problems, in terms of multinomials for $ngeq 2$.
Devendra Kumar, Mohammed Harfaoui
doaj  

Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer

open access: yesFEBS Letters, EarlyView.
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani   +4 more
wiley   +1 more source

Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2

open access: yesOpen Mathematics
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
doaj   +1 more source

Entire Functions of Several Variables: Analogs of Wiman’s Theorem

open access: yesAxioms
This article considers a class of entire functions of several complex variables that are bounded in the Cartesian product of some half-planes. Each such hyperplane is defined on the condition that the real part of the corresponding variable is less than ...
Oleh Skaskiv   +3 more
doaj   +1 more source

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