Results 11 to 20 of about 3,261 (128)

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
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 ...
Bandura Andriy, Skaskiv Oleh
doaj   +4 more sources

L-Index in Joint Variables: Sum and Composition of an Entire Function with a Function With a Vanished Gradient

Fractal and Fractional, 2023
The composition H(z)=f(Φ(z)) is studied, where f is an entire function of a single complex variable and Φ is an entire function of n complex variables with a vanished gradient.
Andriy Bandura, Tetyana Salo, Oleh Skaskiv   +2 more
doaj   +4 more sources

Properties of power series of analytic in a bidisc functions of bounded $\mathbf{L}$-index in joint variables

Karpatsʹkì Matematičnì Publìkacìï, 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, $j\in\{1,2\},$
A.I. Bandura, N.V. Petrechko
doaj   +4 more sources

Analytic Functions in a Complete Reinhardt Domain Having Bounded L-Index in Joint Variables

Symmetry
The manuscript is an initiative to construct a full and exhaustive theory of analytical multivariate functions in any complete Reinhardt domain by introducing the concept of L-index in joint variables for these functions for a given continuous, non-negative, non-vanishing, vector-valued mapping L defined in an interior of the domain with some behavior ...
Andriy Bandura, Tetyana Salo, O B Skaskiv   +2 more
exaly   +5 more sources

Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables

Karpatsʹkì Matematičnì Publìkacìï, 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 ...
V.P. Baksa
doaj   +6 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   +2 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   +2 more sources

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andriy Bandura, O B Skaskiv
exaly   +4 more sources

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
openaire   +4 more sources

Ball exhaustion of the Reinhardt domain: properties of analytic functions of bounded $\mathbf{L}$-index in joint variables

Математичні Студії
This article is a continuation of the research on the concept of an analytic function of a bounded $\mathbf{L}$-index, conducted during 2019-2025 in the articles A. Bandura, T. Salo and O.
A. I. Bandura, L. I. Kryshtopa, L. M. Shehda   +2 more
doaj   +2 more sources