Results 1 to 10 of about 119,900,969 (241)

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 0 ∈ C n .
Oleh Skaskiv, Andriy Bandura
exaly   +3 more sources

Slice holomorphic solutions of some directional differential equations with bounded L-index in the same direction

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 ∈
Oleh Skaskiv, Andriy Bandura
exaly   +3 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 Ivanovych Bandura, M. Martsinkiv, O. Skaskiv   +2 more
semanticscholar   +2 more sources

Functions analytic in the unit ball having bounded $L$-index in a direction

Rocky Mountain Journal of Mathematics, 2019
Oleh Skaskiv, Andriy Bandura
exaly   +2 more sources

Analytic in a unit polydisc functions of bounded $L$-index in direction

Matematychni Studii, 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 ...
Andriy Ivanovych Bandura, T. Salo
semanticscholar   +1 more source

Note on composition of entire functions and bounded $L$-index in direction

, 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 ...
Andriy Ivanovych Bandura, O. Skaskiv, T. Salo   +2 more
semanticscholar   +1 more source

Non-Iterative Recovery from Nonlinear Observations using Generative Models [PDF]

Computer Vision and Pattern Recognition, 2022
In this paper, we aim to estimate the direction of an underlying signal from its nonlinear observations following the semi-parametric single index model (SIM). Unlike for conventional compressed sensing where the signal is assumed to be sparse, we assume
Jiu-Long Liu, Zhaoqiang Liu
semanticscholar   +1 more source

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

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 ...
Andriy Ivanovych Bandura, O. Skaskiv
semanticscholar   +1 more source

Slice holomorphic functions in the unit ball: boundedness of $L$-index in a direction and related properties

Matematychni Studii, 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.
Andriy Ivanovych Bandura, T. Salo, O. Skaskiv   +2 more
semanticscholar   +1 more source

Composition of entire functions and bounded L-index in direction

, 2016
A. I. Bandura, Composition of entire functions and bounded L-index in direction, Mat. Stud. 47 (2017), 179–184. In the present paper we give an answer to the following question: Let f : C → C be an entire function of bounded l-index, Φ: C → C be an ...
Andriy Ivanovych Bandura
semanticscholar   +1 more source