Results 11 to 20 of about 45,775 (301)
Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
doaj +1 more source
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
doaj +1 more source
CMC hypersurfaces with bounded Morse index [PDF]
, 2022 We provide qualitative bounds on the area and topology of separating constant mean curvature (CMC) surfaces of bounded (Morse) index. We also develop a suitable bubble-compactness theory for embedded CMC hypersurfaces with bounded index and area inside ...
Tinaglia, Giuseppe; id_orcid +5 more
core +1 more source
Математичні Студії, 2023 There is introduced a concept of index for the Fueter regular function of the quaternionic variables. There are considered three approaches (Fueter, Sudbery and Mariconda) constructing the Fueter regular function from a holomorphic function of complex ...
V. P. Baksa, A. I. Bandura
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
A Lower Bound for Jumbled Indexing [PDF]
, 2020 In this paper we study lower bounds for a variant of jumbled-indexing problem: given an input string S on an alphabet Σ = {σ1, . . ., σλ}, store it in a data structure such that given frequencies f1, · · ·, fλ, one can find all the substrings S0 of S where the frequency of the character σi is fi, for 1 ≤ i ≤ λ.
Afshani, Peyman +3 more
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source