Results 11 to 20 of about 3,495 (192)

Entire multivariate vector-valued functions of bounded $\mathbf{L}$-index: analog of Fricke’s theorem

Математичні Студії, 2020
We consider a class of vector-valued entire functions $F\colon \mathbb{C}^{n}\rightarrow \mathbb{C}^{p}$. For this class of functions there is introduced a concept of boundedness of $\mathbf{L}$-index in joint variables. Let $|\cdot|_p$ be a norm in $
A. I. Bandura, V. P. Baksa
doaj   +1 more source

Exhaustion by balls and entire functions of bounded $\mathbf{L}$-index in joint variables

Ufimskii Matematicheskii Zhurnal, 2019
Summary: For entire functions of several complex variables, we prove criteria of boundedness of \(\mathbf{L} \)-index in joint variables. Here \(\mathbf{L}: \mathbb{C}^n\to\mathbb{R}^n_+\) is a continuous vector function. The criteria describe local behavior of partial derivatives of entire function on sphere in an \(n\)-dimensional complex space.
Bandura, Andriy Ivanovych, Skaskiv, Oleh Bohdanovych   +1 more
openaire   +2 more sources

Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction

Axioms, 2020
Let b∈Cn\{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C:|z|:=|z|12 ...
Andriy Bandura, Maria Martsinkiv, Oleh Skaskiv   +2 more
doaj   +1 more source

Growth Estimates for Analytic Vector-Valued Functions in the Unit Ball Having Bounded $\mathbf{L}$-index in Joint Variables

Constructive Mathematical Analysis, 2020
Our results concern growth estimates for vector-valued functions of $\mathbb{L}$-index in joint variables which are analytic in the unit ball. There are deduced analogs of known growth estimates obtained early for functions analytic in the unit ball.Our estimates contain logarithm of $\sup$-norm instead of logarithm modulus of the function.They ...
Vita Baksa, Andriy Bandura, Oleh Skaskıv   +2 more
openaire   +4 more sources

Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction

Axioms, 2019
In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
doaj   +1 more source

Analytic functions in a bidisc of bounded $\mathbf{L}$-index in joint variables

, 2016
23 ...
Bandura, A. I., Petrechko, N. V., Skaskiv, O. B.   +2 more
openaire   +2 more sources

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

Математичні 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

Uniform estimates for local properties of analytic functions in a complete Reinhardt domain

Математичні Студії
Using recent estimates of maximum modulus for partial derivatives of the analytic functions with bounded $\mathbf{L}$-index in joint variables we describe maximum modulus of these functions at the polydisc skeleton with given radii by the maximum modulus
A. I. Bandura, T.M. Salo
doaj   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

FEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj, Carolina Vazquez Garzon, Jose Joaquin Velasco, Janine N. Post   +3 more
wiley   +1 more source

Some properties of analytic in a ball functions of bounded $\mathbf{L}$-index in joint variables

, 2017
55 ...
Bandura, Andriy, Skaskiv, Oleh
openaire   +2 more sources