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
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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
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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
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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 +2 more
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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 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oleh Skaskiv, Andriy Bandura
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Математичні СтудіїThis 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 +2 more
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Analytic Functions in a Complete Reinhardt Domain Having Bounded L-Index in Joint Variables
SymmetryThe 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 ...
Oleh Skaskiv +2 more
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Vector-Valued Entire Functions of Several Variables: Some Local Properties
Axioms, 2022 The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where L:Cn→R+n is a positive continuous function.
Andriy Ivanovych Bandura +2 more
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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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Maximum modulus in a bidisc of analytic functions of bounded $ L$-index and an analogue of Hayman's theorem [PDF]
Mathematica Bohemica, 2018 We generalize some criteria of boundedness of $\mathbf{L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial derivative by ...
Andriy Bandura +2 more
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