Results 1 to 10 of about 12 (12)

Asymptotic estimates of entire functions of bounded $\mathbf{L}$-index in joint variables [PDF]

Novi Sad Journal of Mathematics, 2018
11 ...
Bandura, Andriy, Skaskiv, Oleh
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Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes [PDF]

Demonstratio Mathematica, 2019
Abstract We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable zj for the function F?
Bandura Andriy, Skaskiv Oleh
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Partial logarithmic derivatives and distribution of zeros of analytic functions in the unit ball of bounded L-index in joint variables [PDF]

Journal of Mathematical Sciences, 2019
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Bandura, A.I., Skaskiv, O.B.
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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
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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
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Properties of power series of analytic in a bidisc functions of bounded $\mathbf{L}$-index in joint variables

Carpathian Mathematical Publications, 2017
We generalized some criteria of boundedness of $\mathbf{L}$-index in joint variables for analytic in a bidisc functions, where $\mathbf{L}(z)=(l_1(z_1,z_2),$ $l_{2}(z_1,z_2)),$ $l_j:\mathbb{D}^2\to \mathbb{R}_+$ is a continuous function, $j\in\{1,2\},$ $\mathbb{D}^2$ is a bidisc $\{(z_1,z_2)\in\mathbb{C}^2: |z_1|<1,|z_2|<1\}.$ The propositions
A.I. Bandura, N.V. Petrechko
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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
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Some properties of analytic in a ball functions of bounded $\mathbf{L}$-index in joint variables

, 2017
55 ...
Bandura, Andriy, Skaskiv, Oleh
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Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables

Carpathian Mathematical Publications, 2019
In this paper, we consider a class of vector-functions, which are analytic in the unit ball. For this class of functions there is introduced a concept of boundedness of $\mathbf{L}$-index in joint variables, where $\mathbf{L}=(l_1,l_2): \mathbb{B}^2\to\mathbb{R}^2_+$ is a positive continuous vector-function, $\mathbb{B}^2=\{z\in\mathbb{C}^2: |z|=\sqrt{|
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Analytic in a polydisc functions of bounded $\mathbf{L}$-index in joint variables

Matematychni Studii, 2016
A. Bandura, N. Petrechko, O. Skaskiv
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