Results 11 to 20 of about 10,668 (183)
Demonstratio Mathematica, 2019 In the paper we investigate slice holomorphic functions F : ℂn → ℂ having bounded L-index in a direction, i.e. these functions are entire on every slice {z0 + tb : t ∈ℂ} for an arbitrary z0 ∈ℂn and for the fixed direction b ∈ℂn \ {0}, and (∃m0 ∈ ℤ+) (∀m ∈
Bandura Andriy +2 more
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Note on composition of entire functions and bounded $L$-index in direction
Математичні Студії, 2021 We study the following question: ``Let $f\colon \mathbb{C}\to \mathbb{C}$ be an entire function of bounded $l$-index, $\Phi\colon \mathbb{C}^n\to \mathbb{C}$ an be entire function, $n\geq2,$ $l\colon \mathbb{C}\to \mathbb{R}_+$ be a continuous function ...
A. I. Bandura, O. B. Skaskiv, T. M. Salo
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Composition of entire and analytic functions in the unit ball
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Entire functions of bounded index in frame
Математичні Студії, 2020 We introduce a concept of entire functions having bounded index in a variable direction, i.e. in a frame. An entire function $F\colon\ \mathbb{C}^n\to \mathbb{C}$ is called a function of bounded frame index in a frame $\mathbf{b}(z)$, if~there exists ...
A.I. Bandura
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Analytic in the unit polydisc functions of bounded L-index in direction
Математичні Студії, 2023 The concept of bounded $L$-index in a direction $\mathbf{b}=(b_1,\ldots,b_n)\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ is generalized for a class of analytic functions in the unit polydisc, where $L$ is some continuous function such that for every $z=(z_1 ...
A. Bandura, T. Salo
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
V.P. Baksa, A. I. Bandura, T.M. Salo
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Note on boundedness of the $L$-index in the direction of the composition of slice entire functions
Математичні Студії, 2022 We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa +3 more
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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 +2 more
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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
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